$$ \begin{aligned} t+9 &= 3t-9&& \text{move the $ \color{blue}{ 3t } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]t-3t &= -9-9&& \text{simplify left and right hand side} \\[1 em]-2t &= -18&& \text{ divide both sides by $ -2 $ } \\[1 em]t &= \frac{-18}{-2}&& \\[1 em]t &= 9&& \\[1 em] \end{aligned} $$
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