$$ \begin{aligned} 3(a-2)+14 &= 8-6a&& \text{simplify left and right hand side} \\[1 em]3a-6+14 &= -6a+8&& \\[1 em]3a+8 &= -6a+8&& \text{move the $ \color{blue}{ -6a } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]3a+6a &= 8-8&& \text{simplify left and right hand side} \\[1 em]9a &= 0&& \text{ divide both sides by $ 9 $ } \\[1 em]a &= \frac{0}{9}&& \\[1 em]a &= 0&& \\[1 em] \end{aligned} $$

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