$$ \begin{aligned} 35t+70\cdot(7-t) &= 385&& \text{simplify left side} \\[1 em]35t+490-70t &= 385&& \\[1 em]-35t+490 &= 385&& \text{ move 490 to the right } \\[1 em]-35t &= 385-490&& \\[1 em]-35t &= -105&& \text{ divide both sides by $ -35 $ } \\[1 em]t &= \frac{-105}{-35}&& \\[1 em]t &= 3&& \\[1 em] \end{aligned} $$
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