Answer
$k=4$
Work Step by Step
We are given the equation $3(k-6)=6-12$. In order to solve, we must first use the distributive property to simplify the left side.
$3(k-6)=3(k)+3(-6)=3k-18=6-12$
Combine like terms on the right side.
$3k-18=6-12=-6$
Add 18 to both sides.
$3k-18+18=-6+18$
$3k=12$
Divide both sides by 3.
$\frac{3k}{3}=\frac{12}{3}$
Therefore, $k=4$.