Question

How did the plebeians gain the right to vote and hold political office in the Roman Republic?

They threatened to leave Rome and build a new city.
They attacked the Senate and began a bloody civil war.
They refused to work on the large farms of the patricians.
They created an alliance with Rome's enemies and attacked the city.

Answer 1

I agree with the person above - the way that the plebeians gained the right to vote and hold political office in the Roman Republic is by threatening to leave Rome and build a new city.
Since that was not an option, they were allowed some rights.