Answer
$16$
Work Step by Step
Since $|c|=+c$, where $c$ is a constant, then the given expression, $
|-8|+6-|-2|-(-6+2)
$, is equivalent to
\begin{align*}
8+6-2-(-6+2)
.\end{align*}
Using order of operations, the expression above simplifies to
\begin{align*}
&
8+6-2-(-4)
\\&=
8+6-2+4
\\&=
14-2+4
\\&=
12+4
\\&=
16
.\end{align*}
Hence, the expression $
|-8|+6-|-2|-(-6+2)
$ simplifies to $
16
$.
