$$ \begin{aligned} 22 &= 6k+4-4-4&& \text{simplify right side} \\[1 em]22 &= 6k+4-4-4&& \\[1 em]22 &= 6k-4&& \text{ swap the left and right side of the equation } \\[1 em]6k-4 &= 22&& \text{ move -4 to the right } \\[1 em]6k &= 22+4&& \\[1 em]6k &= 26&& \text{ divide both sides by $ 6 $ } \\[1 em]k &= \frac{26}{6}&& \\[1 em]k &= \frac{13}{3}&& \\[1 em] \end{aligned} $$

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