(7z+4)+(3z-14)+90=180

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Solution for (7z+4)+(3z-14)+90=180 equation:


Simplifying
(7z + 4) + (3z + -14) + 90 = 180

Reorder the terms:
(4 + 7z) + (3z + -14) + 90 = 180

Remove parenthesis around (4 + 7z)
4 + 7z + (3z + -14) + 90 = 180

Reorder the terms:
4 + 7z + (-14 + 3z) + 90 = 180

Remove parenthesis around (-14 + 3z)
4 + 7z + -14 + 3z + 90 = 180

Reorder the terms:
4 + -14 + 90 + 7z + 3z = 180

Combine like terms: 4 + -14 = -10
-10 + 90 + 7z + 3z = 180

Combine like terms: -10 + 90 = 80
80 + 7z + 3z = 180

Combine like terms: 7z + 3z = 10z
80 + 10z = 180

Solving
80 + 10z = 180

Solving for variable 'z'.

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

Add '-80' to each side of the equation.
80 + -80 + 10z = 180 + -80

Combine like terms: 80 + -80 = 0
0 + 10z = 180 + -80
10z = 180 + -80

Combine like terms: 180 + -80 = 100
10z = 100

Divide each side by '10'.
z = 10

Simplifying
z = 10

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