(4z-16)+(2z+10)+90=180

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Solution for (4z-16)+(2z+10)+90=180 equation:


Simplifying
(4z + -16) + (2z + 10) + 90 = 180

Reorder the terms:
(-16 + 4z) + (2z + 10) + 90 = 180

Remove parenthesis around (-16 + 4z)
-16 + 4z + (2z + 10) + 90 = 180

Reorder the terms:
-16 + 4z + (10 + 2z) + 90 = 180

Remove parenthesis around (10 + 2z)
-16 + 4z + 10 + 2z + 90 = 180

Reorder the terms:
-16 + 10 + 90 + 4z + 2z = 180

Combine like terms: -16 + 10 = -6
-6 + 90 + 4z + 2z = 180

Combine like terms: -6 + 90 = 84
84 + 4z + 2z = 180

Combine like terms: 4z + 2z = 6z
84 + 6z = 180

Solving
84 + 6z = 180

Solving for variable 'z'.

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

Add '-84' to each side of the equation.
84 + -84 + 6z = 180 + -84

Combine like terms: 84 + -84 = 0
0 + 6z = 180 + -84
6z = 180 + -84

Combine like terms: 180 + -84 = 96
6z = 96

Divide each side by '6'.
z = 16

Simplifying
z = 16

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