\[\frac{2a}{a - 5} - \frac{a + 7}{4a - 20} \cdot \frac{200}{a^{2} + 7a} =\]
\[= \frac{2a^{\backslash a}}{a - 5} - \frac{50}{a(a - 5)} =\]
\[= \frac{2a^{2} - 50}{a(a - 5)} = \frac{2 \cdot \left( a^{2} - 25 \right)}{a(a - 5)} =\]
\[= \frac{2 \cdot (a + 5)}{a}\]