(3z+1)+(2z-10)+90=180

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Solution for (3z+1)+(2z-10)+90=180 equation: 


Simplifying
(3z + 1) + (2z + -10) + 90 = 180

Reorder the terms:
(1 + 3z) + (2z + -10) + 90 = 180

Remove parenthesis around (1 + 3z)
1 + 3z + (2z + -10) + 90 = 180

Reorder the terms:
1 + 3z + (-10 + 2z) + 90 = 180

Remove parenthesis around (-10 + 2z)
1 + 3z + -10 + 2z + 90 = 180

Reorder the terms:
1 + -10 + 90 + 3z + 2z = 180

Combine like terms: 1 + -10 = -9
-9 + 90 + 3z + 2z = 180

Combine like terms: -9 + 90 = 81
81 + 3z + 2z = 180

Combine like terms: 3z + 2z = 5z
81 + 5z = 180

Solving
81 + 5z = 180

Solving for variable 'z'.

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

Add '-81' to each side of the equation.
81 + -81 + 5z = 180 + -81

Combine like terms: 81 + -81 = 0
0 + 5z = 180 + -81
5z = 180 + -81

Combine like terms: 180 + -81 = 99
5z = 99

Divide each side by '5'.
z = 19.8

Simplifying
z = 19.8

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