\[\frac{7a}{a^{2} - 4b^{2}} - \frac{7}{a - 2b} =\]
\[= \frac{7a}{(a - 2b)(a + 2b)} - \frac{7^{\backslash a + 2b}}{a - 2b} =\]
\[= \frac{7a - 7a - 14b}{(a - 2b)(a + 2b)} =\]
\[= - \frac{14b}{a^{2} - 4b^{2}} = \frac{14b}{4b^{2} - a^{2}}.\]