Question
$$-7 \cdot \frac{u}{6} = 14$$
Answer
$$ u = -12 $$
Explanation
$$ \begin{aligned} -7 \cdot \frac{u}{6} &= 14&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]-6\cdot7 \cdot \frac{u}{6} &= 6\cdot14&& \text{cancel out the denominators} \\[1 em]-7u &= 84&& \text{ divide both sides by $ -7 $ } \\[1 em]u &= -\frac{84}{7}&& \\[1 em]u &= -12&& \\[1 em] \end{aligned} $$
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