$$ \begin{aligned} 6c+14 &= -5c+4+9c&& \text{simplify right side} \\[1 em]6c+14 &= 4c+4&& \text{move the $ \color{blue}{ 4c } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]6c-4c &= 4-14&& \text{simplify left and right hand side} \\[1 em]2c &= -10&& \text{ divide both sides by $ 2 $ } \\[1 em]c &= -\frac{10}{2}&& \\[1 em]c &= -5&& \\[1 em] \end{aligned} $$
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