3(4-2n)=6(n+8)

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Solution for 3(4-2n)=6(n+8) equation: 


Simplifying
3(4 + -2n) = 6(n + 8)
(4 * 3 + -2n * 3) = 6(n + 8)
(12 + -6n) = 6(n + 8)

Reorder the terms:
12 + -6n = 6(8 + n)
12 + -6n = (8 * 6 + n * 6)
12 + -6n = (48 + 6n)

Solving
12 + -6n = 48 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
12 + -6n + -6n = 48 + 6n + -6n

Combine like terms: -6n + -6n = -12n
12 + -12n = 48 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + -12n = 48 + 0
12 + -12n = 48

Add '-12' to each side of the equation.
12 + -12 + -12n = 48 + -12

Combine like terms: 12 + -12 = 0
0 + -12n = 48 + -12
-12n = 48 + -12

Combine like terms: 48 + -12 = 36
-12n = 36

Divide each side by '-12'.
n = -3

Simplifying
n = -3

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