3(4n-12)=-6n-3(n+12)

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Solution for 3(4n-12)=-6n-3(n+12) equation: 


Simplifying
3(4n + -12) = -6n + -3(n + 12)

Reorder the terms:
3(-12 + 4n) = -6n + -3(n + 12)
(-12 * 3 + 4n * 3) = -6n + -3(n + 12)
(-36 + 12n) = -6n + -3(n + 12)

Reorder the terms:
-36 + 12n = -6n + -3(12 + n)
-36 + 12n = -6n + (12 * -3 + n * -3)
-36 + 12n = -6n + (-36 + -3n)

Reorder the terms:
-36 + 12n = -36 + -6n + -3n

Combine like terms: -6n + -3n = -9n
-36 + 12n = -36 + -9n

Add '36' to each side of the equation.
-36 + 36 + 12n = -36 + 36 + -9n

Combine like terms: -36 + 36 = 0
0 + 12n = -36 + 36 + -9n
12n = -36 + 36 + -9n

Combine like terms: -36 + 36 = 0
12n = 0 + -9n
12n = -9n

Solving
12n = -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
12n + 9n = -9n + 9n

Combine like terms: 12n + 9n = 21n
21n = -9n + 9n

Combine like terms: -9n + 9n = 0
21n = 0

Divide each side by '21'.
n = 0

Simplifying
n = 0

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