In what ways do the principles established in the Declaration reflect the political transformations taking place throughout the age of Atlantic revolutions?

The correct answer to this open question is the following.

The ways in that the principles established in the Declaration reflected the political transformations taking place throughout the age of Atlantic revolutions were that the principles established in the Declaration of Independence were so valid for other nations that lived under the oppression of European monarchies that were cruel and absolutist, as was the case of France, for instance.

Indeed, the principles of equality, liberty, and rights for the citizens are universal and could be applied in other parts of the world. These principles were the basis for the Independence of Haiti or the many independence movements in México and Latin America.