Question
$$8t+1 = 3t-19$$
Answer
$$ t = -4 $$
Explanation
$$ \begin{aligned} 8t+1 &= 3t-19&& \text{move the $ \color{blue}{ 3t } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]8t-3t &= -19-1&& \text{simplify left and right hand side} \\[1 em]5t &= -20&& \text{ divide both sides by $ 5 $ } \\[1 em]t &= -\frac{20}{5}&& \\[1 em]t &= -4&& \\[1 em] \end{aligned} $$
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