7n-9-12+4n=2n+6-6n+18

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Solution for 7n-9-12+4n=2n+6-6n+18 equation:


Simplifying
7n + -9 + -12 + 4n = 2n + 6 + -6n + 18

Reorder the terms:
-9 + -12 + 7n + 4n = 2n + 6 + -6n + 18

Combine like terms: -9 + -12 = -21
-21 + 7n + 4n = 2n + 6 + -6n + 18

Combine like terms: 7n + 4n = 11n
-21 + 11n = 2n + 6 + -6n + 18

Reorder the terms:
-21 + 11n = 6 + 18 + 2n + -6n

Combine like terms: 6 + 18 = 24
-21 + 11n = 24 + 2n + -6n

Combine like terms: 2n + -6n = -4n
-21 + 11n = 24 + -4n

Solving
-21 + 11n = 24 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-21 + 11n + 4n = 24 + -4n + 4n

Combine like terms: 11n + 4n = 15n
-21 + 15n = 24 + -4n + 4n

Combine like terms: -4n + 4n = 0
-21 + 15n = 24 + 0
-21 + 15n = 24

Add '21' to each side of the equation.
-21 + 21 + 15n = 24 + 21

Combine like terms: -21 + 21 = 0
0 + 15n = 24 + 21
15n = 24 + 21

Combine like terms: 24 + 21 = 45
15n = 45

Divide each side by '15'.
n = 3

Simplifying
n = 3

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