6+2n-4=5n+8-2n

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Solution for 6+2n-4=5n+8-2n equation: 


Simplifying
6 + 2n + -4 = 5n + 8 + -2n

Reorder the terms:
6 + -4 + 2n = 5n + 8 + -2n

Combine like terms: 6 + -4 = 2
2 + 2n = 5n + 8 + -2n

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

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

Solving
2 + 2n = 8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
2 + 2n + -3n = 8 + 3n + -3n

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

Combine like terms: 3n + -3n = 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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