Answer
$a=\dfrac{25}{7}$
Work Step by Step
Using properties of equality, the solution to the given expression, $
-4(a+1)-3a=-7(2a-3)
$, is
\begin{array}{l}
-4a-4-3a=-14a+21
\\\\
-7a+14a=21+4
\\\\
7a=25
\\\\
a=\dfrac{25}{7}
.\end{array}