(3z+5)+(7z-5)+90=180

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Solution for (3z+5)+(7z-5)+90=180 equation:


Simplifying
(3z + 5) + (7z + -5) + 90 = 180

Reorder the terms:
(5 + 3z) + (7z + -5) + 90 = 180

Remove parenthesis around (5 + 3z)
5 + 3z + (7z + -5) + 90 = 180

Reorder the terms:
5 + 3z + (-5 + 7z) + 90 = 180

Remove parenthesis around (-5 + 7z)
5 + 3z + -5 + 7z + 90 = 180

Reorder the terms:
5 + -5 + 90 + 3z + 7z = 180

Combine like terms: 5 + -5 = 0
0 + 90 + 3z + 7z = 180
90 + 3z + 7z = 180

Combine like terms: 3z + 7z = 10z
90 + 10z = 180

Solving
90 + 10z = 180

Solving for variable 'z'.

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

Add '-90' to each side of the equation.
90 + -90 + 10z = 180 + -90

Combine like terms: 90 + -90 = 0
0 + 10z = 180 + -90
10z = 180 + -90

Combine like terms: 180 + -90 = 90
10z = 90

Divide each side by '10'.
z = 9

Simplifying
z = 9

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