What sort of balance does the declaration attempt to strike between the rights and responsibilities of citizens?

The constitution and the declaration of the independence had a very delicate balance to strike as they were supposed to protect the individual rights of the citizen and also create a strong federal government.

Explanation:

Declaration of independence states that an individual is born with some natural and inalienable rights and those rights cannot be seized or surrendered. Declaration states that government must safeguard the rights of the people, if failed then the people have the power to dissolve and replace the government.

Articles of confederation proved to be weak and the anti federalists argued to add the supplementary document to the constitution and that is bill of rights. This bill of rights states the additional rights such as freedom of religion and press, right to arms, quartering of soldiers, protection to the people during unreasonable searches and raids.