6-5n=2n-8

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


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

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

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

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + -5n + -2n = -8 + 2n + -2n

Combine like terms: -5n + -2n = -7n
6 + -7n = -8 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + -7n = -8 + 0
6 + -7n = -8

Add '-6' to each side of the equation.
6 + -6 + -7n = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7n = -8 + -6
-7n = -8 + -6

Combine like terms: -8 + -6 = -14
-7n = -14

Divide each side by '-7'.
n = 2

Simplifying
n = 2

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