12n+2(-2n-2)=-2(-6n+6)

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Solution for 12n+2(-2n-2)=-2(-6n+6) equation:


Simplifying
12n + 2(-2n + -2) = -2(-6n + 6)

Reorder the terms:
12n + 2(-2 + -2n) = -2(-6n + 6)
12n + (-2 * 2 + -2n * 2) = -2(-6n + 6)
12n + (-4 + -4n) = -2(-6n + 6)

Reorder the terms:
-4 + 12n + -4n = -2(-6n + 6)

Combine like terms: 12n + -4n = 8n
-4 + 8n = -2(-6n + 6)

Reorder the terms:
-4 + 8n = -2(6 + -6n)
-4 + 8n = (6 * -2 + -6n * -2)
-4 + 8n = (-12 + 12n)

Solving
-4 + 8n = -12 + 12n

Solving for variable 'n'.

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

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

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

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

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

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

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

Divide each side by '-4'.
n = 2

Simplifying
n = 2

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