Answer:
z = 3
Explanation:
When solving for z, we have to isolate the variable (z). We do this by adding, subtracting, multiplying, and dividing. When we do one of them, we must do it for both sides to "keep it even".
We can start by seeing that the 3 on the left is not in the parentheses meaning multiplication. So, to get z alone, the first step is dividing both sides by 3.
3(2z-10) = -12
/3 /3
2z-10 = -4
The next step to getting z alone is adding 10 to both sides.
2z-10 = -4
+10 +10
2z = 6
For the final step in getting z alone, we can see that on the left sides, it says 2z, meaning 2 times z. To undo this and get it alone, we can divide both sides by 2
2z = 6
/2 /2
z = 3
Therefore, the answer is z = 3