4(n+2)=n+(n+4)

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


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

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

Reorder the terms:
8 + 4n = n + (4 + n)

Remove parenthesis around (4 + n)
8 + 4n = n + 4 + n

Reorder the terms:
8 + 4n = 4 + n + n

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

Solving
8 + 4n = 4 + 2n

Solving for variable 'n'.

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

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

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

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

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

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

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

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

Simplifying
n = -2

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