$$3+\frac{6}{p} = \frac{12}{p}$$

$$ \begin{aligned} 3+\frac{6}{p} &= \frac{12}{p}&& \text{multiply ALL terms by } \color{blue}{ p }. \\[1 em]p\cdot3+p\cdot\frac{6}{p} &= p\cdot\frac{12}{p}&& \text{cancel out the denominators} \\[1 em]3p+6 &= 12&& \text{ move 6 to the right } \\[1 em]3p &= 12-6&& \\[1 em]3p &= 6&& \text{ divide both sides by $ 3 $ } \\[1 em]p &= \frac{6}{3}&& \\[1 em]p &= 2&& \\[1 em] \end{aligned} $$

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