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

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


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

Reorder the terms:
2(-4 + n) = 4(n + 6)
(-4 * 2 + n * 2) = 4(n + 6)
(-8 + 2n) = 4(n + 6)

Reorder the terms:
-8 + 2n = 4(6 + n)
-8 + 2n = (6 * 4 + n * 4)
-8 + 2n = (24 + 4n)

Solving
-8 + 2n = 24 + 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.
-8 + 2n + -4n = 24 + 4n + -4n

Combine like terms: 2n + -4n = -2n
-8 + -2n = 24 + 4n + -4n

Combine like terms: 4n + -4n = 0
-8 + -2n = 24 + 0
-8 + -2n = 24

Add '8' to each side of the equation.
-8 + 8 + -2n = 24 + 8

Combine like terms: -8 + 8 = 0
0 + -2n = 24 + 8
-2n = 24 + 8

Combine like terms: 24 + 8 = 32
-2n = 32

Divide each side by '-2'.
n = -16

Simplifying
n = -16

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