2-n=8-5n+6

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


Simplifying
2 + -1n = 8 + -5n + 6

Reorder the terms:
2 + -1n = 8 + 6 + -5n

Combine like terms: 8 + 6 = 14
2 + -1n = 14 + -5n

Solving
2 + -1n = 14 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
2 + -1n + 5n = 14 + -5n + 5n

Combine like terms: -1n + 5n = 4n
2 + 4n = 14 + -5n + 5n

Combine like terms: -5n + 5n = 0
2 + 4n = 14 + 0
2 + 4n = 14

Add '-2' to each side of the equation.
2 + -2 + 4n = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = 14 + -2
4n = 14 + -2

Combine like terms: 14 + -2 = 12
4n = 12

Divide each side by '4'.
n = 3

Simplifying
n = 3

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