(4z+6)+(3z-10)+90=180

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Solution for (4z+6)+(3z-10)+90=180 equation:


Simplifying
(4z + 6) + (3z + -10) + 90 = 180

Reorder the terms:
(6 + 4z) + (3z + -10) + 90 = 180

Remove parenthesis around (6 + 4z)
6 + 4z + (3z + -10) + 90 = 180

Reorder the terms:
6 + 4z + (-10 + 3z) + 90 = 180

Remove parenthesis around (-10 + 3z)
6 + 4z + -10 + 3z + 90 = 180

Reorder the terms:
6 + -10 + 90 + 4z + 3z = 180

Combine like terms: 6 + -10 = -4
-4 + 90 + 4z + 3z = 180

Combine like terms: -4 + 90 = 86
86 + 4z + 3z = 180

Combine like terms: 4z + 3z = 7z
86 + 7z = 180

Solving
86 + 7z = 180

Solving for variable 'z'.

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

Add '-86' to each side of the equation.
86 + -86 + 7z = 180 + -86

Combine like terms: 86 + -86 = 0
0 + 7z = 180 + -86
7z = 180 + -86

Combine like terms: 180 + -86 = 94
7z = 94

Divide each side by '7'.
z = 13.42857143

Simplifying
z = 13.42857143

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