Answer
The equation has no solution.
Work Step by Step
The given equation is
$\Rightarrow 2|2r+4|=-16$
Divide each side by $2$.
$\Rightarrow \frac{2|2r+4|}{2}=\frac{-16}{2}$
Simplify.
$\Rightarrow |2r+4|=-8$
The absolute value of an expression must be greater than or equal to zero.
The expression $|2r+4|$ cannot equal $-8$.
So, the equation has no solution.