The first of those revolutions in this question is the French. That revolution emerged from major social contradictions located in the means of production and the resources distribution in the society. Liberty and equality comes from this context showing that the extremely segrecionist political system, the monarchy, for example, responsible for uneven the land distribution in France. This revolution was responsible for the end of monarchy with the king's execution, Louis XVI. Others economic and social powers rise within that process like the bourgeoisie showing new logic of capitalism.
In America Continent, the problem of slavery there was two basic major questions in the society; the slavery as part of means of production and the political-economic dependence attached by European countries. We can see the same words appeared in these revolutions such as liberty and equality, but here with some implications that brings some difference between how these concepts were understood in those different contexts. Therefore, in the American Revolution, problems reference by the trade marketing was unpleased, paying abuse taxes to the English Empire. In the Hattian Revolution, we can see the problem of slavery the bigger issue; the revolution have these leaderships. In Spanish American we see some mixes of these two problems, reveling the unequal distribution of power and resources all of the examples, and the actions that looked for insert new economic and politic actors in the scenario were some reasons that can create a bound all of these revolutionary processes.