$$ \begin{aligned} 32-2\cdot3\cdot2 &= 0&& \text{simplify left side} \\[1 em]32-2\cdot6 &= 0&& \\[1 em]32-12 &= 0&& \\[1 em]20 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 20 = 0 } $ is FALSE, we conclude that the equation has no solution.
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