$$ \begin{aligned} 10 &= \frac{n}{10}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot10 &= 10 \cdot \frac{n}{10}&& \text{cancel out the denominators} \\[1 em]100 &= n&& \text{ swap the left and right side of the equation } \\[1 em]n &= 100&& \\[1 em]n &= 100&& \\[1 em] \end{aligned} $$
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