Answer
$2g(-4)=22$
Work Step by Step
Substituting $
x=-4
$ in the given function, $
g(x)=|-3x-1|
,$ then
\begin{align*}\require{cancel}
g(-4)&=|-3(-4)-1|
\\&=
|12-1|
\\&=
|11|
\\&=
11
\end{align*}
Using the result above, then
\begin{align*}
2g(-4)&=2(11)
\\&=
22
\end{align*}
Hence $
2g(-4)=22
.$