$$ \begin{aligned} -7+\frac{3}{14}t &= \frac{1}{7}t-8&& \text{multiply ALL terms by } \color{blue}{ 14 }. \\[1 em]-14\cdot7+14 \cdot \frac{3}{14}t &= 14 \cdot \frac{1}{7}t-14\cdot8&& \text{cancel out the denominators} \\[1 em]-98+3t &= 2t-112&& \text{move the $ \color{blue}{ 2t } $ to the left side and $ \color{blue}{ -98 }$ to the right} \\[1 em]3t-2t &= -112+98&& \text{simplify left and right hand side} \\[1 em]t &= -14&& \\[1 em]t &= -14&& \\[1 em] \end{aligned} $$

This page was created using