(n-2)=3(6+n)

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Solution for (n-2)=3(6+n) equation: 


Simplifying
(n + -2) = 3(6 + n)

Reorder the terms:
(-2 + n) = 3(6 + n)

Remove parenthesis around (-2 + n)
-2 + n = 3(6 + n)
-2 + n = (6 * 3 + n * 3)
-2 + n = (18 + 3n)

Solving
-2 + n = 18 + 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.
-2 + n + -3n = 18 + 3n + -3n

Combine like terms: n + -3n = -2n
-2 + -2n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
-2 + -2n = 18 + 0
-2 + -2n = 18

Add '2' to each side of the equation.
-2 + 2 + -2n = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -2n = 18 + 2
-2n = 18 + 2

Combine like terms: 18 + 2 = 20
-2n = 20

Divide each side by '-2'.
n = -10

Simplifying
n = -10

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