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to lift up; to hold up; to raise
to give; to present; to offer
to do (for someone)
お荷物を差し上げましょうか。
Shall I carry your luggage?
プレゼントを差し上げたいのですが。
I'd like to give you a gift.
お車までお送り差し上げましょう。
I'll walk you to your car.