(12z-6)+(6z-3)+90=180

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Solution for (12z-6)+(6z-3)+90=180 equation:


Simplifying
(12z + -6) + (6z + -3) + 90 = 180

Reorder the terms:
(-6 + 12z) + (6z + -3) + 90 = 180

Remove parenthesis around (-6 + 12z)
-6 + 12z + (6z + -3) + 90 = 180

Reorder the terms:
-6 + 12z + (-3 + 6z) + 90 = 180

Remove parenthesis around (-3 + 6z)
-6 + 12z + -3 + 6z + 90 = 180

Reorder the terms:
-6 + -3 + 90 + 12z + 6z = 180

Combine like terms: -6 + -3 = -9
-9 + 90 + 12z + 6z = 180

Combine like terms: -9 + 90 = 81
81 + 12z + 6z = 180

Combine like terms: 12z + 6z = 18z
81 + 18z = 180

Solving
81 + 18z = 180

Solving for variable 'z'.

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

Add '-81' to each side of the equation.
81 + -81 + 18z = 180 + -81

Combine like terms: 81 + -81 = 0
0 + 18z = 180 + -81
18z = 180 + -81

Combine like terms: 180 + -81 = 99
18z = 99

Divide each side by '18'.
z = 5.5

Simplifying
z = 5.5

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