$$ \begin{aligned} 6+3t &= 8t-14&& \text{move the $ \color{blue}{ 8t } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]3t-8t &= -14-6&& \text{simplify left and right hand side} \\[1 em]-5t &= -20&& \text{ divide both sides by $ -5 $ } \\[1 em]t &= \frac{-20}{-5}&& \\[1 em]t &= 4&& \\[1 em] \end{aligned} $$
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