3(n-8)+6(n-12)=12

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Solution for 3(n-8)+6(n-12)=12 equation:


Simplifying
3(n + -8) + 6(n + -12) = 12

Reorder the terms:
3(-8 + n) + 6(n + -12) = 12
(-8 * 3 + n * 3) + 6(n + -12) = 12
(-24 + 3n) + 6(n + -12) = 12

Reorder the terms:
-24 + 3n + 6(-12 + n) = 12
-24 + 3n + (-12 * 6 + n * 6) = 12
-24 + 3n + (-72 + 6n) = 12

Reorder the terms:
-24 + -72 + 3n + 6n = 12

Combine like terms: -24 + -72 = -96
-96 + 3n + 6n = 12

Combine like terms: 3n + 6n = 9n
-96 + 9n = 12

Solving
-96 + 9n = 12

Solving for variable 'n'.

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

Add '96' to each side of the equation.
-96 + 96 + 9n = 12 + 96

Combine like terms: -96 + 96 = 0
0 + 9n = 12 + 96
9n = 12 + 96

Combine like terms: 12 + 96 = 108
9n = 108

Divide each side by '9'.
n = 12

Simplifying
n = 12

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