$$ \begin{aligned} -14 &= \frac{7}{10}b&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot(-14) &= 10 \cdot \frac{7}{10}b&& \text{cancel out the denominators} \\[1 em]-140 &= 7b&& \text{ swap the left and right side of the equation } \\[1 em]7b &= -140&& \text{ divide both sides by $ 7 $ } \\[1 em]b &= -\frac{140}{7}&& \\[1 em]b &= -20&& \\[1 em] \end{aligned} $$

This page was created using