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to conquer (e.g. an enemy); to defeat
to overcome (a difficulty)
to out-hit
その困難に打ち勝った。
She overcame that difficulty.
誘惑に打ち勝って試験に集中した。
I resisted temptation and focused on studying.
どんな苦難にも打ち勝つ覚悟だ。
I'm prepared to overcome any hardship.