(n+3)6=9n-12

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Solution for (n+3)6=9n-12 equation:


Simplifying
(n + 3) * 6 = 9n + -12

Reorder the terms:
(3 + n) * 6 = 9n + -12

Reorder the terms for easier multiplication:
6(3 + n) = 9n + -12
(3 * 6 + n * 6) = 9n + -12
(18 + 6n) = 9n + -12

Reorder the terms:
18 + 6n = -12 + 9n

Solving
18 + 6n = -12 + 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.
18 + 6n + -9n = -12 + 9n + -9n

Combine like terms: 6n + -9n = -3n
18 + -3n = -12 + 9n + -9n

Combine like terms: 9n + -9n = 0
18 + -3n = -12 + 0
18 + -3n = -12

Add '-18' to each side of the equation.
18 + -18 + -3n = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -3n = -12 + -18
-3n = -12 + -18

Combine like terms: -12 + -18 = -30
-3n = -30

Divide each side by '-3'.
n = 10

Simplifying
n = 10

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