2n+2=3n-8

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


Simplifying
2n + 2 = 3n + -8

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

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

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

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

Combine like terms: 3n + -3n = 0
2 + -1n = -8 + 0
2 + -1n = -8

Add '-2' to each side of the equation.
2 + -2 + -1n = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = -8 + -2
-1n = -8 + -2

Combine like terms: -8 + -2 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10

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