The most accurate statement regarding the goals of socialism and communism from the responses provided is: "Socialism seeks equitable distribution of wealth, while communism seeks equal distribution of wealth."
To elaborate, socialism generally advocates for a more equitable distribution of wealth and resources, often through reforms and state intervention, while communism emphasizes a classless society where all property is commonly owned, leading to an equal distribution of wealth. The other statements contain inaccuracies about the relationship and goals of socialism and communism.