Question
$$3 \cdot \frac{u}{2} = -6$$
Answer
$$ u = -4 $$
Explanation
$$ \begin{aligned} 3 \cdot \frac{u}{2} &= -6&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot3 \cdot \frac{u}{2} &= 2\cdot(-6)&& \text{cancel out the denominators} \\[1 em]3u &= -12&& \text{ divide both sides by $ 3 $ } \\[1 em]u &= -\frac{12}{3}&& \\[1 em]u &= -4&& \\[1 em] \end{aligned} $$
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