$$ \begin{aligned} 1+2a &= 8+a-1+2&& \text{simplify left and right hand side} \\[1 em]2a+1 &= a+9&& \text{move the $ \color{blue}{ a } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]2a-a &= 9-1&& \text{simplify left and right hand side} \\[1 em]a &= 8&& \\[1 em]a &= 8&& \\[1 em] \end{aligned} $$
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