$$ \begin{aligned} 42+5t &= 8t&& \text{move the $ \color{blue}{ 8t } $ to the left side and $ \color{blue}{ 42 }$ to the right} \\[1 em]5t-8t &= -42&& \text{simplify left side} \\[1 em]-3t &= -42&& \text{ divide both sides by $ -3 $ } \\[1 em]t &= \frac{-42}{-3}&& \\[1 em]t &= 14&& \\[1 em] \end{aligned} $$
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