(z+2)+5(z+2)+90=180

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Solution for (z+2)+5(z+2)+90=180 equation: 


Simplifying
(z + 2) + 5(z + 2) + 90 = 180

Reorder the terms:
(2 + z) + 5(z + 2) + 90 = 180

Remove parenthesis around (2 + z)
2 + z + 5(z + 2) + 90 = 180

Reorder the terms:
2 + z + 5(2 + z) + 90 = 180
2 + z + (2 * 5 + z * 5) + 90 = 180
2 + z + (10 + 5z) + 90 = 180

Reorder the terms:
2 + 10 + 90 + z + 5z = 180

Combine like terms: 2 + 10 = 12
12 + 90 + z + 5z = 180

Combine like terms: 12 + 90 = 102
102 + z + 5z = 180

Combine like terms: z + 5z = 6z
102 + 6z = 180

Solving
102 + 6z = 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 + -102 + 6z = 180 + -102

Combine like terms: 102 + -102 = 0
0 + 6z = 180 + -102
6z = 180 + -102

Combine like terms: 180 + -102 = 78
6z = 78

Divide each side by '6'.
z = 13

Simplifying
z = 13

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