$$ \begin{aligned} -\frac{b}{6}-50 &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]-6 \cdot \frac{b}{6}-6\cdot50 &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]-b-300 &= 0&& \text{ move the constants to the right } \\[1 em]-b &= 300&& \text{switch signs on both sides} \\[1 em]b &= -300&& \\[1 em] \end{aligned} $$
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