Answer:
122 = 7(z + 8) + -5(6 + z) >z = 48
Step-by-step explanation:
122 = 7(8 + z) + -5(6 + z)
122 = (8 * 7 + z * 7) + -5(6 + z)
122 = (56 + 7z) + -5(6 + z)
122 = 56 + 7z + (6 * -5 + z * -5)
122 = 56 + 7z + (-30 + -5z)
Reorder the terms:
122 = 56 + -30 + 7z + -5z
Combine like terms: 56 + -30 = 26
122 = 26 + 7z + -5z
Combine like terms: 7z + -5z = 2z
122 = 26 + 2z
Solving
122 = 26 + 2z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-2z' to each side of the equation.
122 + -2z = 26 + 2z + -2z
Combine like terms: 2z + -2z = 0
122 + -2z = 26 + 0
122 + -2z = 26
Add '-122' to each side of the equation.
122 + -122 + -2z = 26 + -122
Combine like terms: 122 + -122 = 0
0 + -2z = 26 + -122
-2z = 26 + -122
Combine like terms: 26 + -122 = -96
-2z = -96
