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

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


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

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

Reorder the terms:
16 + -4 + -4n + 4n = -4n + 2n

Combine like terms: 16 + -4 = 12
12 + -4n + 4n = -4n + 2n

Combine like terms: -4n + 4n = 0
12 + 0 = -4n + 2n
12 = -4n + 2n

Combine like terms: -4n + 2n = -2n
12 = -2n

Solving
12 = -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.
12 + 2n = -2n + 2n

Combine like terms: -2n + 2n = 0
12 + 2n = 0

Add '-12' to each side of the equation.
12 + -12 + 2n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 0 + -12
2n = 0 + -12

Combine like terms: 0 + -12 = -12
2n = -12

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

Simplifying
n = -6

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