3n+7-5n=2-6n+14-n+1

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Solution for 3n+7-5n=2-6n+14-n+1 equation: 


Simplifying
3n + 7 + -5n = 2 + -6n + 14 + -1n + 1

Reorder the terms:
7 + 3n + -5n = 2 + -6n + 14 + -1n + 1

Combine like terms: 3n + -5n = -2n
7 + -2n = 2 + -6n + 14 + -1n + 1

Reorder the terms:
7 + -2n = 2 + 14 + 1 + -6n + -1n

Combine like terms: 2 + 14 = 16
7 + -2n = 16 + 1 + -6n + -1n

Combine like terms: 16 + 1 = 17
7 + -2n = 17 + -6n + -1n

Combine like terms: -6n + -1n = -7n
7 + -2n = 17 + -7n

Solving
7 + -2n = 17 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
7 + -2n + 7n = 17 + -7n + 7n

Combine like terms: -2n + 7n = 5n
7 + 5n = 17 + -7n + 7n

Combine like terms: -7n + 7n = 0
7 + 5n = 17 + 0
7 + 5n = 17

Add '-7' to each side of the equation.
7 + -7 + 5n = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 5n = 17 + -7
5n = 17 + -7

Combine like terms: 17 + -7 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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