Question
$$-\frac{5}{24}-\frac{2}{3} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -\frac{5}{24}-\frac{2}{3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]-24\cdot\frac{5}{24}-24\cdot\frac{2}{3} &= 24\cdot0&& \text{cancel out the denominators} \\[1 em]-5-16 &= 0&& \text{simplify left side} \\[1 em]-21 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -21 = 0 } $ is FALSE, we conclude that the equation has no solution.
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