$$ \begin{aligned} \frac{450}{n} &= \frac{2}{3}&& \text{multiply ALL terms by } \color{blue}{ n\cdot3 }. \\[1 em]n\cdot3\cdot\frac{450}{n} &= n\cdot3\cdot\frac{2}{3}&& \text{cancel out the denominators} \\[1 em]1350 &= 2n&& \text{ swap the left and right side of the equation } \\[1 em]2n &= 1350&& \text{ divide both sides by $ 2 $ } \\[1 em]n &= \frac{1350}{2}&& \\[1 em]n &= 675&& \\[1 em] \end{aligned} $$
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