Answer
$z=4$
Work Step by Step
We are given the equation $6z-3=3z+9$. In order to solve, we can first subtract 3z from both sides.
$6z-3z-3=3z-3z+9$
$3z-3=9$
Next, add 3 to both sides.
$3z-3+3=9+3$
$3z=12$
Divide both sides by 3.
$\frac{3z}{3}=\frac{12}{3}$
Therefore, $z=4$.