$$-7(t+10) = 6t$$

$$ \begin{aligned} -7(t+10) &= 6t&& \text{simplify left side} \\[1 em]-(7t+70) &= 6t&& \\[1 em]-7t-70 &= 6t&& \text{move the $ \color{blue}{ 6t } $ to the left side and $ \color{blue}{ -70 }$ to the right} \\[1 em]-7t-6t &= 70&& \text{simplify left side} \\[1 em]-13t &= 70&& \text{ divide both sides by $ -13 $ } \\[1 em]t &= -\frac{70}{13}&& \\[1 em] \end{aligned} $$

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