\[\frac{6c + 4}{7 - c} + \frac{3c + 25}{c - 7} =\]
\[= \frac{6c + 4}{7 - c} - \frac{3c + 25}{7 - c} =\]
\[= \frac{6c + 4 - 3c + 25}{7 - c} = \frac{3c - 21}{7 - c} =\]