-6(-3n-12)-6(-2+2n)=6n+12n

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Solution for -6(-3n-12)-6(-2+2n)=6n+12n equation:


Simplifying
-6(-3n + -12) + -6(-2 + 2n) = 6n + 12n

Reorder the terms:
-6(-12 + -3n) + -6(-2 + 2n) = 6n + 12n
(-12 * -6 + -3n * -6) + -6(-2 + 2n) = 6n + 12n
(72 + 18n) + -6(-2 + 2n) = 6n + 12n
72 + 18n + (-2 * -6 + 2n * -6) = 6n + 12n
72 + 18n + (12 + -12n) = 6n + 12n

Reorder the terms:
72 + 12 + 18n + -12n = 6n + 12n

Combine like terms: 72 + 12 = 84
84 + 18n + -12n = 6n + 12n

Combine like terms: 18n + -12n = 6n
84 + 6n = 6n + 12n

Combine like terms: 6n + 12n = 18n
84 + 6n = 18n

Solving
84 + 6n = 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
84 + 6n + -18n = 18n + -18n

Combine like terms: 6n + -18n = -12n
84 + -12n = 18n + -18n

Combine like terms: 18n + -18n = 0
84 + -12n = 0

Add '-84' to each side of the equation.
84 + -84 + -12n = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -12n = 0 + -84
-12n = 0 + -84

Combine like terms: 0 + -84 = -84
-12n = -84

Divide each side by '-12'.
n = 7

Simplifying
n = 7

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