Question
$$-10\cdot\frac{-3}{6}+9 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -10\cdot\frac{-3}{6}+9 &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]-6\cdot10\cdot\frac{-3}{6}+6\cdot9 &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]-(-30)+54 &= 0&& \text{simplify left side} \\[1 em]84 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 84 = 0 } $ is FALSE, we conclude that the equation has no solution.
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