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please don't fuss over me; don't go to any trouble; don't bother
「お構いなく」と言いながらも、お茶を出した。
While saying 'don't bother,' they still served tea.
「お構いなく」と遠慮しながら席に着いた。
I sat down while modestly saying 'don't bother.'
「どうぞお構いなく」と何度も言った。
I said 'please don't bother' many times.