one of the goals of this system of government is the equal distribution of wealth

The system of government that has one of its goals as the equal distribution of wealth is most likely socialism.

Here’s why:

Socialist ideals: A core principle of socialism is to reduce economic inequality and create a society where wealth is more evenly distributed among citizens. This can be achieved through policies like progressive taxation, government ownership of key industries, and strong social safety nets.

Other systems: While some other systems might aim to reduce poverty or promote social mobility, the equal distribution of wealth isn’t necessarily a primary focus.