(n+8)=(3n-4)

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Solution for (n+8)=(3n-4) equation:


Simplifying
(n + 8) = (3n + -4)

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

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

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

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

Solving
8 + n = -4 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
8 + n + -3n = -4 + 3n + -3n

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

Combine like terms: 3n + -3n = 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 = -12
-2n = -12

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

Simplifying
n = 6

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