(Z+10)+(z+50)+42=180

Solution for (Z+10)+(z+50)+42=180 equation:

Simplifying
(Z + 10) + (z + 50) + 42 = 180

Reorder the terms:
(10 + Z) + (z + 50) + 42 = 180

Remove parenthesis around (10 + Z)
10 + Z + (z + 50) + 42 = 180

Reorder the terms:
10 + Z + (50 + z) + 42 = 180

Remove parenthesis around (50 + z)
10 + Z + 50 + z + 42 = 180

Reorder the terms:
10 + 50 + 42 + Z + z = 180

Combine like terms: 10 + 50 = 60
60 + 42 + Z + z = 180

Combine like terms: 60 + 42 = 102
102 + Z + z = 180

Solving
102 + Z + z = 180

Solving for variable 'Z'.

Move all terms containing Z to the left, all other terms to the right.

Add '-102' to each side of the equation.
102 + Z + -102 + z = 180 + -102

Reorder the terms:
102 + -102 + Z + z = 180 + -102

Combine like terms: 102 + -102 = 0
0 + Z + z = 180 + -102
Z + z = 180 + -102

Combine like terms: 180 + -102 = 78
Z + z = 78

Add '-1z' to each side of the equation.
Z + z + -1z = 78 + -1z

Combine like terms: z + -1z = 0
Z + 0 = 78 + -1z
Z = 78 + -1z

Simplifying
Z = 78 + -1z