-3(-4n+8)=8n+6(6+4n)

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


Simplifying
-3(-4n + 8) = 8n + 6(6 + 4n)

Reorder the terms:
-3(8 + -4n) = 8n + 6(6 + 4n)
(8 * -3 + -4n * -3) = 8n + 6(6 + 4n)
(-24 + 12n) = 8n + 6(6 + 4n)
-24 + 12n = 8n + (6 * 6 + 4n * 6)
-24 + 12n = 8n + (36 + 24n)

Reorder the terms:
-24 + 12n = 36 + 8n + 24n

Combine like terms: 8n + 24n = 32n
-24 + 12n = 36 + 32n

Solving
-24 + 12n = 36 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
-24 + 12n + -32n = 36 + 32n + -32n

Combine like terms: 12n + -32n = -20n
-24 + -20n = 36 + 32n + -32n

Combine like terms: 32n + -32n = 0
-24 + -20n = 36 + 0
-24 + -20n = 36

Add '24' to each side of the equation.
-24 + 24 + -20n = 36 + 24

Combine like terms: -24 + 24 = 0
0 + -20n = 36 + 24
-20n = 36 + 24

Combine like terms: 36 + 24 = 60
-20n = 60

Divide each side by '-20'.
n = -3

Simplifying
n = -3

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