-4(n-4)=-2(3n+1)

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Solution for -4(n-4)=-2(3n+1) equation: 


Simplifying
-4(n + -4) = -2(3n + 1)

Reorder the terms:
-4(-4 + n) = -2(3n + 1)
(-4 * -4 + n * -4) = -2(3n + 1)
(16 + -4n) = -2(3n + 1)

Reorder the terms:
16 + -4n = -2(1 + 3n)
16 + -4n = (1 * -2 + 3n * -2)
16 + -4n = (-2 + -6n)

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

Solving for variable 'n'.

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

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

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

Combine like terms: -6n + 6n = 0
16 + 2n = -2 + 0
16 + 2n = -2

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

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

Combine like terms: -2 + -16 = -18
2n = -18

Divide each side by '2'.
n = -9

Simplifying
n = -9

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