Question
$$-20\cdot\frac{9}{5}+32 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -20\cdot\frac{9}{5}+32 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]-5\cdot20\cdot\frac{9}{5}+5\cdot32 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]-180+160 &= 0&& \text{simplify left side} \\[1 em]-20 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -20 = 0 } $ is FALSE, we conclude that the equation has no solution.
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