(z+2)+3(z+2)+90=180

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


Simplifying
(z + 2) + 3(z + 2) + 90 = 180

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

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

Reorder the terms:
2 + z + 3(2 + z) + 90 = 180
2 + z + (2 * 3 + z * 3) + 90 = 180
2 + z + (6 + 3z) + 90 = 180

Reorder the terms:
2 + 6 + 90 + z + 3z = 180

Combine like terms: 2 + 6 = 8
8 + 90 + z + 3z = 180

Combine like terms: 8 + 90 = 98
98 + z + 3z = 180

Combine like terms: z + 3z = 4z
98 + 4z = 180

Solving
98 + 4z = 180

Solving for variable 'z'.

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

Add '-98' to each side of the equation.
98 + -98 + 4z = 180 + -98

Combine like terms: 98 + -98 = 0
0 + 4z = 180 + -98
4z = 180 + -98

Combine like terms: 180 + -98 = 82
4z = 82

Divide each side by '4'.
z = 20.5

Simplifying
z = 20.5

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