$$ \begin{aligned} 2t+8-5t &= -21-t+3&& \text{simplify left and right hand side} \\[1 em]-3t+8 &= -t-18&& \text{move the $ \color{blue}{ -t } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]-3t+t &= -18-8&& \text{simplify left and right hand side} \\[1 em]-2t &= -26&& \text{ divide both sides by $ -2 $ } \\[1 em]t &= \frac{-26}{-2}&& \\[1 em]t &= 13&& \\[1 em] \end{aligned} $$
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