N+(n+10)+2n+(n+20)=360

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Solution for N+(n+10)+2n+(n+20)=360 equation:


Simplifying
N + (n + 10) + 2n + (n + 20) = 360

Reorder the terms:
N + (10 + n) + 2n + (n + 20) = 360

Remove parenthesis around (10 + n)
N + 10 + n + 2n + (n + 20) = 360

Reorder the terms:
N + 10 + n + 2n + (20 + n) = 360

Remove parenthesis around (20 + n)
N + 10 + n + 2n + 20 + n = 360

Reorder the terms:
10 + 20 + N + n + 2n + n = 360

Combine like terms: 10 + 20 = 30
30 + N + n + 2n + n = 360

Combine like terms: n + 2n = 3n
30 + N + 3n + n = 360

Combine like terms: 3n + n = 4n
30 + N + 4n = 360

Solving
30 + N + 4n = 360

Solving for variable 'N'.

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

Add '-30' to each side of the equation.
30 + N + -30 + 4n = 360 + -30

Reorder the terms:
30 + -30 + N + 4n = 360 + -30

Combine like terms: 30 + -30 = 0
0 + N + 4n = 360 + -30
N + 4n = 360 + -30

Combine like terms: 360 + -30 = 330
N + 4n = 330

Add '-4n' to each side of the equation.
N + 4n + -4n = 330 + -4n

Combine like terms: 4n + -4n = 0
N + 0 = 330 + -4n
N = 330 + -4n

Simplifying
N = 330 + -4n

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