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I refer to my previous post - learn verbs and cases, prepositions that are ruled by that verb when you cover them. Learn them as you go, don't try to make lists. You may want to make those lists...

сделать для кого-то, чего-то (тебя) Genitive
сражаться за кого-то, что-то (мир) Accusative
за нас! - to us! (toast)

"for" (for the sake of) is usually translated as "для" but some verbs will...