$$\frac{7}{9}g+\frac{2}{3}g = g+\frac{20}{9}$$

$$ \begin{aligned} \frac{7}{9}g+\frac{2}{3}g &= g+\frac{20}{9}&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9 \cdot \frac{7}{9}g+9\frac{2}{3}g &= 9g+9\cdot\frac{20}{9}&& \text{cancel out the denominators} \\[1 em]7g+6g &= 9g+20&& \text{simplify left side} \\[1 em]13g &= 9g+20&& \text{move the $ \color{blue}{ 9g } $ to the left side} \\[1 em]13g-9g &= 20&& \text{simplify left side} \\[1 em]4g &= 20&& \text{ divide both sides by $ 4 $ } \\[1 em]g &= \frac{20}{4}&& \\[1 em]g &= 5&& \\[1 em] \end{aligned} $$

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