$$ \begin{aligned} 24(c-54) &= 22.8&& \text{simplify left side} \\[1 em]24c-1296 &= 22.8&& \text{move the $ \color{blue}{ 22 } $ to the left side and $ \color{blue}{ -1296 }$ to the right} \\[1 em]24c-22 &= 1296&& \text{ move -22 to the right } \\[1 em]24c &= 1296+22&& \\[1 em]24c &= 1318&& \text{ divide both sides by $ 24 $ } \\[1 em]c &= \frac{1318}{24}&& \\[1 em]c &= \frac{659}{12}&& \\[1 em] \end{aligned} $$

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