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

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


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

Reorder the terms:
-4(-3 + n) = -2(3n + -4)
(-3 * -4 + n * -4) = -2(3n + -4)
(12 + -4n) = -2(3n + -4)

Reorder the terms:
12 + -4n = -2(-4 + 3n)
12 + -4n = (-4 * -2 + 3n * -2)
12 + -4n = (8 + -6n)

Solving
12 + -4n = 8 + -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.
12 + -4n + 6n = 8 + -6n + 6n

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

Combine like terms: -6n + 6n = 0
12 + 2n = 8 + 0
12 + 2n = 8

Add '-12' to each side of the equation.
12 + -12 + 2n = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 8 + -12
2n = 8 + -12

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

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

Simplifying
n = -2

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