Answer
$2$
Work Step by Step
Using the order of operations on real numbers and the concepts of the absolute value of a number, the given expression, $
3-|2-7+4|
,$ evaluates to
\begin{array}{l}\require{cancel}
3-|-5+4|
\\\\=
3-|-1|
\\\\=
3-(1)
\\\\=
3-1
\\\\=
2
.\end{array}