how are they supposed to banish adverse entities or a feeling/emotion?
LBRP isn't the only form of banishing, though I understand why you'd want to stick to it given you're working through a GD curriculum
I've put a couple of chaos magic ones below and one with a more traditional (but not GD) basis. These weren't written by me. I tend not to note where I grab stuff from because it's just for my personal use, but you can google the titles.
Here's one that requires no visualisation (sorry for lack of formatting - all the formatting options are greyed out for me for some reason):
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Banishing for Busy People
Banishing is a ritual for making a safe space to practice magic for a limited time.
There are a lot of traditional banishing rituals. They require a lot of buy-in on the part of the practitioner. If you've got one you like, use it!
The following minimalist ritual can be helpful for anyone else who thinks that a little extra protection while making magic is good insurance. It doesn't require a lot of extra work.
Get all your stuff for doing magic in one place. Double check. Triple check. You don't want to have to leave the safe area to get a pencil sharpener or lube or whatever.
1. Start by saying, "I am doing magic now."
2. Name your protector. "_____ protects me from harm." If you've already got a relationship with patrons, friends or servants, you can name them. If not, you can name Beginner's Luck. You can also name a magical weapon or talisman you have with you, like a knife, amulet, crystal, or rattle. If you don't like depending on external entities, you can also name your own personal qualities, like, "my good intentions" or "my wizardly skills" or "my rippling biceps".
3. If you have any offerings for your protector, give them now. Otherwise, this is a good point to shake your rattle, wave around your patron's sigil, or flex those 24-inch pythons.
4. Delineate your safe area. You can do this by putting objects out at the corners or sides, or drawing on the floor if you can, or making a blanket fort, or just tracing a line with your pointed finger.
5.Say, "This is my safe area. Any who wish me harm must leave. Go!" Give them a second to pack up and get out.
[More formal option:
"All entities who do not wish to help, depart now, for you have no lawful business here. In the holy names of Pentagrammaton, Yeheshuah and Yehovashah, I command you to go! Yet go in peace, and fare you well."
6. Say, "As long as I stay in this area, I am safe from those who wish me harm, and from my own mistakes."
7. Do your magic. Don't leave the safe area! This should be obvious. If you forgot some object, end the ritual and start again. Sorry, but I did warn you!
8. When you're done, thank your protector. More offerings are ok here.
9. Say "I am done doing magic now." Clear any boundaries you've put around your space.
10. Leave the space. You're safe to do so.
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This one requires only a very simple visualisation:
Banishing of Lesser Bullshit
Step 1: Imagine a speck of pure, concentrated light. If doing this to an object/place, put it in the very center of it. If doing this to you or someone else, put that biatch somewhere in the chest/solar plexus area.
Step 2: Now make this light slowly expand, in all directions as a sphere. As it gets bigger and bigger, it pushes everything else out. Where that light exists, darkness cannot. Don't just imagine it, WILL it. You have to use willpower here as well as thinking in absolutes, or this method will not work.
Step 3: Expand till big enough to surround the target in question. By this point, all the bullshit will have been pushed directly outside the sphere you've created. Take this bullshit, and push it into the ground.
Step 4: At this point, you can either dissipate this sphere of light or harden it off into a shield on the outside, since you're already halfway there. Whichever one suits you.
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Another simpler visualisation one. This is more traditional and gets its power from physical gesture and sound
AL-KT Fist Slam Banishing
Face the anchor direction (eg east). Step back one pace so you’re just behind the center of the circle.
Visualize a ring of light hovering at around heart level at the boundary of the circle. This is a protective circle of light, so a color reflective of that is suggested. White is always appropriate.
Let a point on the ring in the anchor direction glow exceptionally bright. Grab that point of light and hold it with your dominant hand in a fist.
Bring that point of light to the center of the circle. As you do so, visualize the point of light glowing brighter and brighter as you intone AL more and more forcefully. (I go AAAAAALLLLLLL while rising in volume and pitch, building up to a crescendo)
Once the point of light reaches the center of the circle, slam your fist down on the center of the ground, exclaiming KT loudly and powerfully (kuht! not kay-tee). As the point of light and your fist strike the ground, see a ripple of energy from the force emanate from the center outwards, cleansing out the energies from yourself and the circle while strengthening the circle’s boundary.
If you can't imagine the ripple of energy, that's okay, because your fist slam has created literal vibration in the air for you
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There's others, these are just ones I had saved