$$ \begin{aligned} 7-2b &= 3b+1&& \text{move the $ \color{blue}{ 3b } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]-2b-3b &= 1-7&& \text{simplify left and right hand side} \\[1 em]-5b &= -6&& \text{ divide both sides by $ -5 $ } \\[1 em]b &= \frac{-6}{-5}&& \\[1 em]b &= \frac{6}{5}&& \\[1 em] \end{aligned} $$
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