n+2=3n-8

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


Simplifying
n + 2 = 3n + -8

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

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

Solving
2 + n = -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.
2 + n + -3n = -8 + 3n + -3n

Combine like terms: n + -3n = -2n
2 + -2n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + -2n = -8 + 0
2 + -2n = -8

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

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

Combine like terms: -8 + -2 = -10
-2n = -10

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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