6(6-2n)=-2(7n-8)-6

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Solution for 6(6-2n)=-2(7n-8)-6 equation: 


Simplifying
6(6 + -2n) = -2(7n + -8) + -6
(6 * 6 + -2n * 6) = -2(7n + -8) + -6
(36 + -12n) = -2(7n + -8) + -6

Reorder the terms:
36 + -12n = -2(-8 + 7n) + -6
36 + -12n = (-8 * -2 + 7n * -2) + -6
36 + -12n = (16 + -14n) + -6

Reorder the terms:
36 + -12n = 16 + -6 + -14n

Combine like terms: 16 + -6 = 10
36 + -12n = 10 + -14n

Solving
36 + -12n = 10 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
36 + -12n + 14n = 10 + -14n + 14n

Combine like terms: -12n + 14n = 2n
36 + 2n = 10 + -14n + 14n

Combine like terms: -14n + 14n = 0
36 + 2n = 10 + 0
36 + 2n = 10

Add '-36' to each side of the equation.
36 + -36 + 2n = 10 + -36

Combine like terms: 36 + -36 = 0
0 + 2n = 10 + -36
2n = 10 + -36

Combine like terms: 10 + -36 = -26
2n = -26

Divide each side by '2'.
n = -13

Simplifying
n = -13

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