Final answer:
The Greeks influenced American democracy by allowing citizens to participate in government through direct democracy.
Explanation:
The most important way in which the Greeks influenced American democracy was by allowing citizens to participate in government. In ancient Greece, particularly in Athens, citizens had the opportunity to be directly involved in decision-making through direct democracy, where they could vote on laws and government matters. This concept of citizen participation in government was foundational to the development of modern democratic systems.
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