(2z+10)+(3z-8)+90=180

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Solution for (2z+10)+(3z-8)+90=180 equation:


Simplifying
(2z + 10) + (3z + -8) + 90 = 180

Reorder the terms:
(10 + 2z) + (3z + -8) + 90 = 180

Remove parenthesis around (10 + 2z)
10 + 2z + (3z + -8) + 90 = 180

Reorder the terms:
10 + 2z + (-8 + 3z) + 90 = 180

Remove parenthesis around (-8 + 3z)
10 + 2z + -8 + 3z + 90 = 180

Reorder the terms:
10 + -8 + 90 + 2z + 3z = 180

Combine like terms: 10 + -8 = 2
2 + 90 + 2z + 3z = 180

Combine like terms: 2 + 90 = 92
92 + 2z + 3z = 180

Combine like terms: 2z + 3z = 5z
92 + 5z = 180

Solving
92 + 5z = 180

Solving for variable 'z'.

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

Add '-92' to each side of the equation.
92 + -92 + 5z = 180 + -92

Combine like terms: 92 + -92 = 0
0 + 5z = 180 + -92
5z = 180 + -92

Combine like terms: 180 + -92 = 88
5z = 88

Divide each side by '5'.
z = 17.6

Simplifying
z = 17.6

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