$$ \begin{aligned} 4t-8t\cdot2+17(2t+4) &= 0&& \text{simplify left side} \\[1 em]4t-16t+17(2t+4) &= 0&& \\[1 em]-12t+17(2t+4) &= 0&& \\[1 em]-12t+34t+68 &= 0&& \\[1 em]22t+68 &= 0&& \text{ move the constants to the right } \\[1 em]22t &= -68&& \text{ divide both sides by $ 22 $ } \\[1 em]t &= -\frac{68}{22}&& \\[1 em]t &= -\frac{34}{11}&& \\[1 em] \end{aligned} $$

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