Answer
$z=-5$.
Work Step by Step
The given equation is
$\Rightarrow -4(2z+6)-12=4$
Use distributive property.
$\Rightarrow -8z-24-12=4$
Combine like terms.
$\Rightarrow -8z-36=4$
Add $36$ to each side.
$\Rightarrow -8z-36+36=4+36$
Simplify.
$\Rightarrow -8z=40$
Divide each side by $-8$.
$\Rightarrow \frac{-8z}{-8}=\frac{40}{-8}$
Simplify.
$\Rightarrow z=-5$
Check:-
$\Rightarrow -4(2(-5)+6)-12=4$
$\Rightarrow -4(-10+6)-12=4$
$\Rightarrow -4(-4)-12=4$
$\Rightarrow 16-12=4$
$\Rightarrow 4=4$
True.
Hence, the solution is $z=-5$.
