Answer
$-\dfrac{32}{15}$
Work Step by Step
Using order of operations, the given expression, $
\dfrac{-4\left(\dfrac{12-(-8)}{3\cdot2+4}\right)-5(-1-7)}{-9-(-7)-[5-(-8)]}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{-4\left(\dfrac{12+8}{6+4}\right)-5(-8)}{-9+7-[5+8]}
\\\\=
\dfrac{-4\left(\dfrac{20}{10}\right)+40}{-2-13}
\\\\=
\dfrac{-4\left(2\right)+40}{-15}
\\\\=
\dfrac{-8+40}{-15}
\\\\=
\dfrac{32}{-15}
\\\\=
-\dfrac{32}{15}
.\end{array}
