(3z+2)+(6z-2)+90=180

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Solution for (3z+2)+(6z-2)+90=180 equation: 


Simplifying
(3z + 2) + (6z + -2) + 90 = 180

Reorder the terms:
(2 + 3z) + (6z + -2) + 90 = 180

Remove parenthesis around (2 + 3z)
2 + 3z + (6z + -2) + 90 = 180

Reorder the terms:
2 + 3z + (-2 + 6z) + 90 = 180

Remove parenthesis around (-2 + 6z)
2 + 3z + -2 + 6z + 90 = 180

Reorder the terms:
2 + -2 + 90 + 3z + 6z = 180

Combine like terms: 2 + -2 = 0
0 + 90 + 3z + 6z = 180
90 + 3z + 6z = 180

Combine like terms: 3z + 6z = 9z
90 + 9z = 180

Solving
90 + 9z = 180

Solving for variable 'z'.

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

Add '-90' to each side of the equation.
90 + -90 + 9z = 180 + -90

Combine like terms: 90 + -90 = 0
0 + 9z = 180 + -90
9z = 180 + -90

Combine like terms: 180 + -90 = 90
9z = 90

Divide each side by '9'.
z = 10

Simplifying
z = 10

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