(n-36)+(2n-8)+(n+14)+n+90=360

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Solution for (n-36)+(2n-8)+(n+14)+n+90=360 equation:


Simplifying
(n + -36) + (2n + -8) + (n + 14) + n + 90 = 360

Reorder the terms:
(-36 + n) + (2n + -8) + (n + 14) + n + 90 = 360

Remove parenthesis around (-36 + n)
-36 + n + (2n + -8) + (n + 14) + n + 90 = 360

Reorder the terms:
-36 + n + (-8 + 2n) + (n + 14) + n + 90 = 360

Remove parenthesis around (-8 + 2n)
-36 + n + -8 + 2n + (n + 14) + n + 90 = 360

Reorder the terms:
-36 + n + -8 + 2n + (14 + n) + n + 90 = 360

Remove parenthesis around (14 + n)
-36 + n + -8 + 2n + 14 + n + n + 90 = 360

Reorder the terms:
-36 + -8 + 14 + 90 + n + 2n + n + n = 360

Combine like terms: -36 + -8 = -44
-44 + 14 + 90 + n + 2n + n + n = 360

Combine like terms: -44 + 14 = -30
-30 + 90 + n + 2n + n + n = 360

Combine like terms: -30 + 90 = 60
60 + n + 2n + n + n = 360

Combine like terms: n + 2n = 3n
60 + 3n + n + n = 360

Combine like terms: 3n + n = 4n
60 + 4n + n = 360

Combine like terms: 4n + n = 5n
60 + 5n = 360

Solving
60 + 5n = 360

Solving for variable 'n'.

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

Add '-60' to each side of the equation.
60 + -60 + 5n = 360 + -60

Combine like terms: 60 + -60 = 0
0 + 5n = 360 + -60
5n = 360 + -60

Combine like terms: 360 + -60 = 300
5n = 300

Divide each side by '5'.
n = 60

Simplifying
n = 60

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