$$ \begin{aligned} 2\cdot\frac{1}{2}(4k+2) &= 12k&& \text{simplify left side} \\[1 em]1(4k+2) &= 12k&& \\[1 em]4k+2 &= 12k&& \text{move the $ \color{blue}{ 12k } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]4k-12k &= -2&& \text{simplify left side} \\[1 em]-8k &= -2&& \text{ divide both sides by $ -8 $ } \\[1 em]k &= \frac{-2}{-8}&& \\[1 em]k &= \frac{1}{4}&& \\[1 em] \end{aligned} $$

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