Man, my algebra never has been the greatest and I always get stuck on some problems that should be relatively easy because I second guess what I do if it is the correct way or not also, I know this horrible but what was the algebraic reason for multiplying by what you did? to make it fit the condition of absolute value a bit easier? but ill show a bit of work to where I am at

Usually around steps like these I cannot determine If I am doing it correctly and make silly mistakes

Could I even do

Edit: I must continue so my erroneous ways can be corrected, even if it hurts, not literally.

Stuck