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

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


Simplifying
12 = 4(3 + 6n) + -8(n + 8)
12 = (3 * 4 + 6n * 4) + -8(n + 8)
12 = (12 + 24n) + -8(n + 8)

Reorder the terms:
12 = 12 + 24n + -8(8 + n)
12 = 12 + 24n + (8 * -8 + n * -8)
12 = 12 + 24n + (-64 + -8n)

Reorder the terms:
12 = 12 + -64 + 24n + -8n

Combine like terms: 12 + -64 = -52
12 = -52 + 24n + -8n

Combine like terms: 24n + -8n = 16n
12 = -52 + 16n

Solving
12 = -52 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
12 + -16n = -52 + 16n + -16n

Combine like terms: 16n + -16n = 0
12 + -16n = -52 + 0
12 + -16n = -52

Add '-12' to each side of the equation.
12 + -12 + -16n = -52 + -12

Combine like terms: 12 + -12 = 0
0 + -16n = -52 + -12
-16n = -52 + -12

Combine like terms: -52 + -12 = -64
-16n = -64

Divide each side by '-16'.
n = 4

Simplifying
n = 4

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