Answer:
Z = -4
Step-by-step explanation:
Simplifying
53 = -19z + 5 + 7z
Reorder the terms:
53 = 5 + -19z + 7z
Combine like terms:
-19z + 7z = -12z
53 = 5 + -12z
Solving
53 = 5 + -12z
Move all terms containing z to the left, all other terms to the right.
Add '12z' to each side of the equation.
53 + 12z = 5 + -12z + 12z
Combine like terms:
-12z + 12z = 0
53 + 12z = 5 + 0
53 + 12z = 5
Add '-53' to each side of the equation.
53 + -53 + 12z = 5 + -53
Combine like terms: 53 + -53 = 0
0 + 12z = 5 + -53
12z = 5 + -53
Combine like terms: 5 + -53 = -48
12z = -48
Divide each side by '12'.
z = -4
Simplifying
z = -4
