3n+6=9(n-2)

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Solution for 3n+6=9(n-2) equation:


Simplifying
3n + 6 = 9(n + -2)

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

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

Solving
6 + 3n = -18 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
6 + 3n + -9n = -18 + 9n + -9n

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

Combine like terms: 9n + -9n = 0
6 + -6n = -18 + 0
6 + -6n = -18

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

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

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

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

Simplifying
n = 4

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