$$ \begin{aligned} 24+\frac{z}{10} &= 31&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot24+10 \cdot \frac{z}{10} &= 10\cdot31&& \text{cancel out the denominators} \\[1 em]240+z &= 310&& \text{ move 240 to the right } \\[1 em]z &= 310-240&& \\[1 em]z &= 70&& \\[1 em]z &= 70&& \\[1 em] \end{aligned} $$
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