12-7n+n=-8n+6

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Solution for 12-7n+n=-8n+6 equation:


Simplifying
12 + -7n + n = -8n + 6

Combine like terms: -7n + n = -6n
12 + -6n = -8n + 6

Reorder the terms:
12 + -6n = 6 + -8n

Solving
12 + -6n = 6 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
12 + -6n + 8n = 6 + -8n + 8n

Combine like terms: -6n + 8n = 2n
12 + 2n = 6 + -8n + 8n

Combine like terms: -8n + 8n = 0
12 + 2n = 6 + 0
12 + 2n = 6

Add '-12' to each side of the equation.
12 + -12 + 2n = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 6 + -12
2n = 6 + -12

Combine like terms: 6 + -12 = -6
2n = -6

Divide each side by '2'.
n = -3

Simplifying
n = -3

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