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proposal; offer; request; application
彼からの申し出をありがたく受け入れた。
I gratefully accepted the offer from him.
転勤の申し出を断るのは難しい判断だった。
It was a difficult decision to decline the transfer offer.
ボランティアへの申し出が予想以上に多かった。
There were more offers to volunteer than expected.