-6+7(3-8n)=-5n+12(-4n-4)

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Solution for -6+7(3-8n)=-5n+12(-4n-4) equation: 


Simplifying
-6 + 7(3 + -8n) = -5n + 12(-4n + -4)
-6 + (3 * 7 + -8n * 7) = -5n + 12(-4n + -4)
-6 + (21 + -56n) = -5n + 12(-4n + -4)

Combine like terms: -6 + 21 = 15
15 + -56n = -5n + 12(-4n + -4)

Reorder the terms:
15 + -56n = -5n + 12(-4 + -4n)
15 + -56n = -5n + (-4 * 12 + -4n * 12)
15 + -56n = -5n + (-48 + -48n)

Reorder the terms:
15 + -56n = -48 + -5n + -48n

Combine like terms: -5n + -48n = -53n
15 + -56n = -48 + -53n

Solving
15 + -56n = -48 + -53n

Solving for variable 'n'.

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

Add '53n' to each side of the equation.
15 + -56n + 53n = -48 + -53n + 53n

Combine like terms: -56n + 53n = -3n
15 + -3n = -48 + -53n + 53n

Combine like terms: -53n + 53n = 0
15 + -3n = -48 + 0
15 + -3n = -48

Add '-15' to each side of the equation.
15 + -15 + -3n = -48 + -15

Combine like terms: 15 + -15 = 0
0 + -3n = -48 + -15
-3n = -48 + -15

Combine like terms: -48 + -15 = -63
-3n = -63

Divide each side by '-3'.
n = 21

Simplifying
n = 21

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