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

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


Simplifying
2(n + -6) = 4(n + 2)

Reorder the terms:
2(-6 + n) = 4(n + 2)
(-6 * 2 + n * 2) = 4(n + 2)
(-12 + 2n) = 4(n + 2)

Reorder the terms:
-12 + 2n = 4(2 + n)
-12 + 2n = (2 * 4 + n * 4)
-12 + 2n = (8 + 4n)

Solving
-12 + 2n = 8 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-12 + 2n + -4n = 8 + 4n + -4n

Combine like terms: 2n + -4n = -2n
-12 + -2n = 8 + 4n + -4n

Combine like terms: 4n + -4n = 0
-12 + -2n = 8 + 0
-12 + -2n = 8

Add '12' to each side of the equation.
-12 + 12 + -2n = 8 + 12

Combine like terms: -12 + 12 = 0
0 + -2n = 8 + 12
-2n = 8 + 12

Combine like terms: 8 + 12 = 20
-2n = 20

Divide each side by '-2'.
n = -10

Simplifying
n = -10

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