5n-6=8-2n

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


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

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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