$$ \begin{aligned} \frac{4}{3}+7 &= \frac{1}{3}g+22&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot\frac{4}{3}+3\cdot7 &= 3 \cdot \frac{1}{3}g+3\cdot22&& \text{cancel out the denominators} \\[1 em]4+21 &= g+66&& \text{simplify left side} \\[1 em]25 &= g+66&& \text{ swap the left and right side of the equation } \\[1 em]g+66 &= 25&& \text{ move 66 to the right } \\[1 em]g &= 25-66&& \\[1 em]g &= -41&& \\[1 em]g &= -41&& \\[1 em] \end{aligned} $$

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