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

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


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

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

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

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

Combine like terms: -6 + 14 = 8
2 + 2n = 8 + 3n + -2n

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

Solving
2 + 2n = 8 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
2 + 2n + -1n = 8 + 1n + -1n

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

Combine like terms: 1n + -1n = 0
2 + 1n = 8 + 0
2 + 1n = 8

Add '-2' to each side of the equation.
2 + -2 + 1n = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = 8 + -2
1n = 8 + -2

Combine like terms: 8 + -2 = 6
1n = 6

Divide each side by '1'.
n = 6

Simplifying
n = 6

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