#### Answer

$a=-\dfrac{25}{2}$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
-\dfrac{4a}{5}-8=2
$, is
\begin{array}{l}
-\dfrac{4a}{5}=2+8
\\\\
-\dfrac{4a}{5}=10
\\\\
a=10\cdot\dfrac{-5}{4}
\\\\
a=\dfrac{-50}{4}
\\\\
a=-\dfrac{25}{2}
.\end{array}