$$ \begin{aligned} 3t+8(2t-6) &= 2+14t&& \text{simplify left and right hand side} \\[1 em]3t+16t-48 &= 14t+2&& \\[1 em]19t-48 &= 14t+2&& \text{move the $ \color{blue}{ 14t } $ to the left side and $ \color{blue}{ -48 }$ to the right} \\[1 em]19t-14t &= 2+48&& \text{simplify left and right hand side} \\[1 em]5t &= 50&& \text{ divide both sides by $ 5 $ } \\[1 em]t &= \frac{50}{5}&& \\[1 em]t &= 10&& \\[1 em] \end{aligned} $$

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