$$\frac{4}{n}+2 = \frac{7}{n}$$

$$ \begin{aligned} \frac{4}{n}+2 &= \frac{7}{n}&& \text{multiply ALL terms by } \color{blue}{ n }. \\[1 em]n\cdot\frac{4}{n}+n\cdot2 &= n\cdot\frac{7}{n}&& \text{cancel out the denominators} \\[1 em]4+2n &= 7&& \text{ move 4 to the right } \\[1 em]2n &= 7-4&& \\[1 em]2n &= 3&& \text{ divide both sides by $ 2 $ } \\[1 em]n &= \frac{3}{2}&& \\[1 em] \end{aligned} $$

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