To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $-g$ and $6$ is $6g$. Multiply $\frac{7}{-g}$ times $\frac{-6}{-6}$. Multiply $\frac{5}{6}$ times $\frac{g}{g}$.
$$\frac{7\left(-6\right)}{6g}+\frac{5g}{6g}$$
Since $\frac{7\left(-6\right)}{6g}$ and $\frac{5g}{6g}$ have the same denominator, add them by adding their numerators.