To Organize, To Sort
する verb
せいりする
本だなを整理してくれたこと、大変感謝しています。
I really appreciate that you organized the bookshelf.
この書るいを全て整理するには、大変な時間と労力が必要である。
It takes a great deal of time and effort to arrange all of these documents.
ちょっと話を整理させてね。つまり、男の人が浮気をするのはいいけど、女の人がするのはだめってこと？それがあなたの言いたいこと？
So let me get this straight. It’s okay for men to cheat, but not for women. Is that what you’re trying to say?
When you arrange something with reason you're arranging it. That's why this is to arrange.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.