$$ \begin{aligned} 43-\frac{b}{3} &= 59&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot43-3 \cdot \frac{b}{3} &= 3\cdot59&& \text{cancel out the denominators} \\[1 em]129-b &= 177&& \text{ move 129 to the right } \\[1 em]-b &= 177-129&& \\[1 em]-b &= 48&& \text{switch signs on both sides} \\[1 em]b &= -48&& \\[1 em] \end{aligned} $$
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