Answer:
By promoting the concept of Democracy.
Step-by-step explanation:
During the enlightenment period, many thinkers popularized the idea of Democracy, a system of government which give most of the power to the hands of the people rather than the rulers.
Many revolutionaries in Latin America was inspired by the concept. They felt tired that they're continuously exploited at the hands of their colonizer. So, series of independence movements started to Arise in Latin America until all of them eventually broke free form colonization/