Answer
$\dfrac{16}{7}$
Work Step by Step
Using order of operations, the given expression, $
\dfrac{-2[3-(-1-2)+2]}{\sqrt{9}(-3)-(-2)}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{-2[3-(-3)+2]}{3(-3)+2}
\\\\=
\dfrac{-2[3+3+2]}{-9+2}
\\\\=
\dfrac{-2[8]}{-7}
\\\\=
\dfrac{-16}{-7}
\\\\=
\dfrac{16}{7}
.\end{array}
