Answer
$5$
Work Step by Step
The given expression, $
24\div6\cdot2-3[4(3-1)-7]
$, simplifies to
\begin{array}{l}
24\div6\cdot2-3[4(2)-7]
\\\\=
24\div6\cdot2-3[8-7]
\\\\=
24\div6\cdot2-3[1]
\\\\=
24\div6\cdot2-3
\\\\=
4\cdot2-3
\\\\=
8-3
\\\\=
5
.\end{array}