-2(3n+2)+6=-4(n-4)

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Solution for -2(3n+2)+6=-4(n-4) equation:


Simplifying
-2(3n + 2) + 6 = -4(n + -4)

Reorder the terms:
-2(2 + 3n) + 6 = -4(n + -4)
(2 * -2 + 3n * -2) + 6 = -4(n + -4)
(-4 + -6n) + 6 = -4(n + -4)

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

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

Reorder the terms:
2 + -6n = -4(-4 + n)
2 + -6n = (-4 * -4 + n * -4)
2 + -6n = (16 + -4n)

Solving
2 + -6n = 16 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
2 + -6n + 4n = 16 + -4n + 4n

Combine like terms: -6n + 4n = -2n
2 + -2n = 16 + -4n + 4n

Combine like terms: -4n + 4n = 0
2 + -2n = 16 + 0
2 + -2n = 16

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

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

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

Divide each side by '-2'.
n = -7

Simplifying
n = -7

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