-4(n+2)=3(n-12)

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Solution for -4(n+2)=3(n-12) equation: 


Simplifying
-4(n + 2) = 3(n + -12)

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

Reorder the terms:
-8 + -4n = 3(-12 + n)
-8 + -4n = (-12 * 3 + n * 3)
-8 + -4n = (-36 + 3n)

Solving
-8 + -4n = -36 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-8 + -4n + -3n = -36 + 3n + -3n

Combine like terms: -4n + -3n = -7n
-8 + -7n = -36 + 3n + -3n

Combine like terms: 3n + -3n = 0
-8 + -7n = -36 + 0
-8 + -7n = -36

Add '8' to each side of the equation.
-8 + 8 + -7n = -36 + 8

Combine like terms: -8 + 8 = 0
0 + -7n = -36 + 8
-7n = -36 + 8

Combine like terms: -36 + 8 = -28
-7n = -28

Divide each side by '-7'.
n = 4

Simplifying
n = 4

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