adverb
An adverb modifies a verb, adjective, or other adverb. It often answers questions such as how, when, or where an action is done. In this case, 'warmly' describes how something is done with warmth or affection.
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The host warmly welcomed all the guests to the formal dinner party.
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She always greets me warmly whenever I see her at the grocery store.
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I was warmly received by my friends when I showed up at the party.
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The sun warmly embraced us as we sat on the beach enjoying the beautiful weather.