Question
$$-\frac{\frac{32}{9}}{5} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -\frac{\frac{32}{9}}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 45 }. \\[1 em]-45 \cdot \frac{\frac{32}{9}}{5} &= 45\cdot0&& \text{cancel out the denominators} \\[1 em]-32 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -32 = 0 } $ is FALSE, we conclude that the equation has no solution.
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