(9z+1)+(10z-6)+90=180

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Solution for (9z+1)+(10z-6)+90=180 equation:


Simplifying
(9z + 1) + (10z + -6) + 90 = 180

Reorder the terms:
(1 + 9z) + (10z + -6) + 90 = 180

Remove parenthesis around (1 + 9z)
1 + 9z + (10z + -6) + 90 = 180

Reorder the terms:
1 + 9z + (-6 + 10z) + 90 = 180

Remove parenthesis around (-6 + 10z)
1 + 9z + -6 + 10z + 90 = 180

Reorder the terms:
1 + -6 + 90 + 9z + 10z = 180

Combine like terms: 1 + -6 = -5
-5 + 90 + 9z + 10z = 180

Combine like terms: -5 + 90 = 85
85 + 9z + 10z = 180

Combine like terms: 9z + 10z = 19z
85 + 19z = 180

Solving
85 + 19z = 180

Solving for variable 'z'.

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

Add '-85' to each side of the equation.
85 + -85 + 19z = 180 + -85

Combine like terms: 85 + -85 = 0
0 + 19z = 180 + -85
19z = 180 + -85

Combine like terms: 180 + -85 = 95
19z = 95

Divide each side by '19'.
z = 5

Simplifying
z = 5

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