-6(n-2)+4(3-6n)=-36

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Solution for -6(n-2)+4(3-6n)=-36 equation: 


Simplifying
-6(n + -2) + 4(3 + -6n) = -36

Reorder the terms:
-6(-2 + n) + 4(3 + -6n) = -36
(-2 * -6 + n * -6) + 4(3 + -6n) = -36
(12 + -6n) + 4(3 + -6n) = -36
12 + -6n + (3 * 4 + -6n * 4) = -36
12 + -6n + (12 + -24n) = -36

Reorder the terms:
12 + 12 + -6n + -24n = -36

Combine like terms: 12 + 12 = 24
24 + -6n + -24n = -36

Combine like terms: -6n + -24n = -30n
24 + -30n = -36

Solving
24 + -30n = -36

Solving for variable 'n'.

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

Add '-24' to each side of the equation.
24 + -24 + -30n = -36 + -24

Combine like terms: 24 + -24 = 0
0 + -30n = -36 + -24
-30n = -36 + -24

Combine like terms: -36 + -24 = -60
-30n = -60

Divide each side by '-30'.
n = 2

Simplifying
n = 2

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