1. to put in order; to tidy up; to clean up; to put away; to clear away
じゃあ俺も片付けますね。Then I'll tidy up too.
2. to settle (a matter); to solve; to deal with; to dispose of
どうやらこれは単純な事故では片付けられないようだ。It seems that this cannot simply be dismissed as a simple accident.
3. to finish; to get through; to complete; to get (something) done
まあ、ともかく今は目の前の仕事を片付けよう。Well, anyway, let's get the work in front of us done for now.
4. to marry off (one's daughter)
occ. written as 嫁ける
5. to do away with (someone); to bump off; to kill; to eliminate