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

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Solution for 9(n+2)=3(n-2) equation:


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

Reorder the terms:
9(2 + n) = 3(n + -2)
(2 * 9 + n * 9) = 3(n + -2)
(18 + 9n) = 3(n + -2)

Reorder the terms:
18 + 9n = 3(-2 + n)
18 + 9n = (-2 * 3 + n * 3)
18 + 9n = (-6 + 3n)

Solving
18 + 9n = -6 + 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.
18 + 9n + -3n = -6 + 3n + -3n

Combine like terms: 9n + -3n = 6n
18 + 6n = -6 + 3n + -3n

Combine like terms: 3n + -3n = 0
18 + 6n = -6 + 0
18 + 6n = -6

Add '-18' to each side of the equation.
18 + -18 + 6n = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 6n = -6 + -18
6n = -6 + -18

Combine like terms: -6 + -18 = -24
6n = -24

Divide each side by '6'.
n = -4

Simplifying
n = -4

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