\[10 - 9 \cdot \left( c - \frac{2}{3} \right) + 7c - 16 =\]
\[= - 2c\]
\[10 - 9c + 3 \cdot 2 + 7c - 16 = - 2c\]
\[10 - 9c + 6 + 7c - 16 = - 2c\ \]
\[- 2c = - 2c.\]