\[\left( \frac{a + 7^{\backslash a + 7}}{a - 7} - \frac{a - 7^{\backslash a - 7}}{a + 7} \right)\ :\frac{14a}{49 - a^{2}} =\]
\[= \frac{28a}{a^{2} - 49} \cdot \frac{49 - a^{2}}{14a} = - 2.\]