Hamilton was a member of Washington's first cabinet. What U.S. department did he run?

Answer Treasury Department

Like the musical, Hamilton, you might ask, "How does the bastard, orphan, immigrant, decorated war vet, Unite the colonies through more debt?" Here's how: Hamilton kept his strong ties to George Washington, and when the latter became president, he was appointed as the nation's first Secretary of the Treasury. And he had his work cut out for him, as the newly-birthed nation faced a serious national debt from the Revolutionary War.

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