adverb
modifies a verb, adjective, or other adverb to indicate acceptance in a welcoming or approving manner
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She nodded acceptingly when he presented his proposal.
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I shrugged my shoulders acceptingly, not wanting to cause any conflict.
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He just gave me a thumbs up acceptingly, showing he was cool with it.
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The old man looked out at the sea, his eyes glistening acceptingly as he accepted his fate.