5n-3n+n+8=2n+1+2n

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Solution for 5n-3n+n+8=2n+1+2n equation: 


Simplifying
5n + -3n + n + 8 = 2n + 1 + 2n

Reorder the terms:
8 + 5n + -3n + n = 2n + 1 + 2n

Combine like terms: 5n + -3n = 2n
8 + 2n + n = 2n + 1 + 2n

Combine like terms: 2n + n = 3n
8 + 3n = 2n + 1 + 2n

Reorder the terms:
8 + 3n = 1 + 2n + 2n

Combine like terms: 2n + 2n = 4n
8 + 3n = 1 + 4n

Solving
8 + 3n = 1 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
8 + 3n + -4n = 1 + 4n + -4n

Combine like terms: 3n + -4n = -1n
8 + -1n = 1 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + -1n = 1 + 0
8 + -1n = 1

Add '-8' to each side of the equation.
8 + -8 + -1n = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 1 + -8
-1n = 1 + -8

Combine like terms: 1 + -8 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7

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