Answer:
z = 5
Explanation:
To solve for z, means to get z all by itself on one side of the equation. In your equation z has had two things done to it. First, z has been times by 4, then 10 is subtracted. So, you "un-do" that in reverse order.
FIRST, add 10. To reverse or "un-do" subtracting.
4z - 10 = 10
4z -10+10 = 10+10
4z = 20
Then, divide by 4 to reverse the multiplying.
4z/4 = 20/4
z = 5
see image.
Also, you can check you answer.
put in 5 in place of z and be sure that you get a true statement.
4(5) - 10 = 10
20 - 10 = 10
10 = 10 Checked!