(n-36)+(2n-8)+(n+4)+n+90=360

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Solution for (n-36)+(2n-8)+(n+4)+n+90=360 equation:


Simplifying
(n + -36) + (2n + -8) + (n + 4) + n + 90 = 360

Reorder the terms:
(-36 + n) + (2n + -8) + (n + 4) + n + 90 = 360

Remove parenthesis around (-36 + n)
-36 + n + (2n + -8) + (n + 4) + n + 90 = 360

Reorder the terms:
-36 + n + (-8 + 2n) + (n + 4) + n + 90 = 360

Remove parenthesis around (-8 + 2n)
-36 + n + -8 + 2n + (n + 4) + n + 90 = 360

Reorder the terms:
-36 + n + -8 + 2n + (4 + n) + n + 90 = 360

Remove parenthesis around (4 + n)
-36 + n + -8 + 2n + 4 + n + n + 90 = 360

Reorder the terms:
-36 + -8 + 4 + 90 + n + 2n + n + n = 360

Combine like terms: -36 + -8 = -44
-44 + 4 + 90 + n + 2n + n + n = 360

Combine like terms: -44 + 4 = -40
-40 + 90 + n + 2n + n + n = 360

Combine like terms: -40 + 90 = 50
50 + n + 2n + n + n = 360

Combine like terms: n + 2n = 3n
50 + 3n + n + n = 360

Combine like terms: 3n + n = 4n
50 + 4n + n = 360

Combine like terms: 4n + n = 5n
50 + 5n = 360

Solving
50 + 5n = 360

Solving for variable 'n'.

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

Add '-50' to each side of the equation.
50 + -50 + 5n = 360 + -50

Combine like terms: 50 + -50 = 0
0 + 5n = 360 + -50
5n = 360 + -50

Combine like terms: 360 + -50 = 310
5n = 310

Divide each side by '5'.
n = 62

Simplifying
n = 62

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