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Let $p,q\in\mathbb{R}$ be such that $p=q(3-q)^2$ and $q=p(3-p)^2$. Find the sum of all possible values of $p+q$.
Algebra
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Let $p,q\in\mathbb{R}$ be such that $p=q(3-q)^2$ and $q=p(3-p)^2$. Find the sum of all possible values of $p+q$.