2n+4=4(n-2)

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


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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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