$$ \begin{aligned} 7a-3 &= 6a\cdot46&& \text{move the $ \color{blue}{ 276a } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]7a-276a &= 3&& \text{simplify left side} \\[1 em]-269a &= 3&& \text{ divide both sides by $ -269 $ } \\[1 em]a &= -\frac{3}{269}&& \\[1 em] \end{aligned} $$
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