3+12n-2=8n+31-2n

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Solution for 3+12n-2=8n+31-2n equation: 


Simplifying
3 + 12n + -2 = 8n + 31 + -2n

Reorder the terms:
3 + -2 + 12n = 8n + 31 + -2n

Combine like terms: 3 + -2 = 1
1 + 12n = 8n + 31 + -2n

Reorder the terms:
1 + 12n = 31 + 8n + -2n

Combine like terms: 8n + -2n = 6n
1 + 12n = 31 + 6n

Solving
1 + 12n = 31 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
1 + 12n + -6n = 31 + 6n + -6n

Combine like terms: 12n + -6n = 6n
1 + 6n = 31 + 6n + -6n

Combine like terms: 6n + -6n = 0
1 + 6n = 31 + 0
1 + 6n = 31

Add '-1' to each side of the equation.
1 + -1 + 6n = 31 + -1

Combine like terms: 1 + -1 = 0
0 + 6n = 31 + -1
6n = 31 + -1

Combine like terms: 31 + -1 = 30
6n = 30

Divide each side by '6'.
n = 5

Simplifying
n = 5

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