(5z+16)+(6z-12)+90=180

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Solution for (5z+16)+(6z-12)+90=180 equation: 


Simplifying
(5z + 16) + (6z + -12) + 90 = 180

Reorder the terms:
(16 + 5z) + (6z + -12) + 90 = 180

Remove parenthesis around (16 + 5z)
16 + 5z + (6z + -12) + 90 = 180

Reorder the terms:
16 + 5z + (-12 + 6z) + 90 = 180

Remove parenthesis around (-12 + 6z)
16 + 5z + -12 + 6z + 90 = 180

Reorder the terms:
16 + -12 + 90 + 5z + 6z = 180

Combine like terms: 16 + -12 = 4
4 + 90 + 5z + 6z = 180

Combine like terms: 4 + 90 = 94
94 + 5z + 6z = 180

Combine like terms: 5z + 6z = 11z
94 + 11z = 180

Solving
94 + 11z = 180

Solving for variable 'z'.

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

Add '-94' to each side of the equation.
94 + -94 + 11z = 180 + -94

Combine like terms: 94 + -94 = 0
0 + 11z = 180 + -94
11z = 180 + -94

Combine like terms: 180 + -94 = 86
11z = 86

Divide each side by '11'.
z = 7.818181818

Simplifying
z = 7.818181818

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