$$ \begin{aligned} \frac{1}{6} &= \frac{n}{24}&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24\cdot\frac{1}{6} &= 24 \cdot \frac{n}{24}&& \text{cancel out the denominators} \\[1 em]4 &= n&& \text{ swap the left and right side of the equation } \\[1 em]n &= 4&& \\[1 em]n &= 4&& \\[1 em] \end{aligned} $$
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