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

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


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

Reorder the terms:
3(4 + n) + -4 = (2n + 4)
(4 * 3 + n * 3) + -4 = (2n + 4)
(12 + 3n) + -4 = (2n + 4)

Reorder the terms:
12 + -4 + 3n = (2n + 4)

Combine like terms: 12 + -4 = 8
8 + 3n = (2n + 4)

Reorder the terms:
8 + 3n = (4 + 2n)

Remove parenthesis around (4 + 2n)
8 + 3n = 4 + 2n

Solving
8 + 3n = 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 + 3n + -2n = 4 + 2n + -2n

Combine like terms: 3n + -2n = 1n
8 + 1n = 4 + 2n + -2n

Combine like terms: 2n + -2n = 0
8 + 1n = 4 + 0
8 + 1n = 4

Add '-8' to each side of the equation.
8 + -8 + 1n = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 1n = 4 + -8
1n = 4 + -8

Combine like terms: 4 + -8 = -4
1n = -4

Divide each side by '1'.
n = -4

Simplifying
n = -4

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