12n-4(n-1)=2(n-2)-4

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Solution for 12n-4(n-1)=2(n-2)-4 equation:


Simplifying
12n + -4(n + -1) = 2(n + -2) + -4

Reorder the terms:
12n + -4(-1 + n) = 2(n + -2) + -4
12n + (-1 * -4 + n * -4) = 2(n + -2) + -4
12n + (4 + -4n) = 2(n + -2) + -4

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

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

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

Reorder the terms:
4 + 8n = -4 + -4 + 2n

Combine like terms: -4 + -4 = -8
4 + 8n = -8 + 2n

Solving
4 + 8n = -8 + 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.
4 + 8n + -2n = -8 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
4 + 6n = -8 + 0
4 + 6n = -8

Add '-4' to each side of the equation.
4 + -4 + 6n = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 6n = -8 + -4
6n = -8 + -4

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

Divide each side by '6'.
n = -2

Simplifying
n = -2

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