Question
$$\frac{m}{9}+\frac{2}{3} = \frac{7}{3}$$
Answer
$$ m = 15 $$
Explanation
$$ \begin{aligned} \frac{m}{9}+\frac{2}{3} &= \frac{7}{3}&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9 \cdot \frac{m}{9}+9\cdot\frac{2}{3} &= 9\cdot\frac{7}{3}&& \text{cancel out the denominators} \\[1 em]m+6 &= 21&& \text{ move 6 to the right } \\[1 em]m &= 21-6&& \\[1 em]m &= 15&& \\[1 em]m &= 15&& \\[1 em] \end{aligned} $$
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