$$ \begin{aligned} -\frac{3}{4} &= \frac{k}{12}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]-12\cdot\frac{3}{4} &= 12 \cdot \frac{k}{12}&& \text{cancel out the denominators} \\[1 em]-9 &= k&& \text{ swap the left and right side of the equation } \\[1 em]k &= -9&& \\[1 em]k &= -9&& \\[1 em] \end{aligned} $$
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