2n+12+5n=3n-8

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Solution for 2n+12+5n=3n-8 equation: 


Simplifying
2n + 12 + 5n = 3n + -8

Reorder the terms:
12 + 2n + 5n = 3n + -8

Combine like terms: 2n + 5n = 7n
12 + 7n = 3n + -8

Reorder the terms:
12 + 7n = -8 + 3n

Solving
12 + 7n = -8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
12 + 7n + -3n = -8 + 3n + -3n

Combine like terms: 7n + -3n = 4n
12 + 4n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
12 + 4n = -8 + 0
12 + 4n = -8

Add '-12' to each side of the equation.
12 + -12 + 4n = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 4n = -8 + -12
4n = -8 + -12

Combine like terms: -8 + -12 = -20
4n = -20

Divide each side by '4'.
n = -5

Simplifying
n = -5

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