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

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


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

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

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

Remove parenthesis around (-12 + 2n)
-6 + 3n = -12 + 2n

Solving
-6 + 3n = -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.
-6 + 3n + -2n = -12 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-6 + 1n = -12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 1n = -12 + 0
-6 + 1n = -12

Add '6' to each side of the equation.
-6 + 6 + 1n = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = -12 + 6
1n = -12 + 6

Combine like terms: -12 + 6 = -6
1n = -6

Divide each side by '1'.
n = -6

Simplifying
n = -6

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