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to bring forward (e.g. by 3 hours); to advance; to hasten (e.g. one's death); to expedite; to precipitate
to quicken (e.g. one's step); to speed up; to accelerate
出発の時間を早めた。
I moved the departure time forward.
締め切りに間に合わせるため作業ペースを早めて終わらせよう。
Let's speed up the work and finish it.
締め切りを一週間早めてもらえますか。
Could you move the deadline forward by a week?