How did the Romans manage to win over the Greeks before the war with Macedonia?

In the 3rd century BC. Rome started a war with Macedonia, but since she was a rather strong enemy, the Romans decided to enlist the support of the Greeks. Then the Greeks were already under Rome, but the Romans decided to use them and promised them freedom as soon as they would help them in the war with the Macedonians. But of course the Romans did not free the Greeks after the conquest of Macedonia.

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