3n-2(n-8)=2+2n

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


Simplifying
3n + -2(n + -8) = 2 + 2n

Reorder the terms:
3n + -2(-8 + n) = 2 + 2n
3n + (-8 * -2 + n * -2) = 2 + 2n
3n + (16 + -2n) = 2 + 2n

Reorder the terms:
16 + 3n + -2n = 2 + 2n

Combine like terms: 3n + -2n = 1n
16 + 1n = 2 + 2n

Solving
16 + 1n = 2 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
16 + 1n + -2n = 2 + 2n + -2n

Combine like terms: 1n + -2n = -1n
16 + -1n = 2 + 2n + -2n

Combine like terms: 2n + -2n = 0
16 + -1n = 2 + 0
16 + -1n = 2

Add '-16' to each side of the equation.
16 + -16 + -1n = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 2 + -16
-1n = 2 + -16

Combine like terms: 2 + -16 = -14
-1n = -14

Divide each side by '-1'.
n = 14

Simplifying
n = 14

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