2(3n-2)=(9n+9)+4

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Solution for 2(3n-2)=(9n+9)+4 equation:


Simplifying
2(3n + -2) = (9n + 9) + 4

Reorder the terms:
2(-2 + 3n) = (9n + 9) + 4
(-2 * 2 + 3n * 2) = (9n + 9) + 4
(-4 + 6n) = (9n + 9) + 4

Reorder the terms:
-4 + 6n = (9 + 9n) + 4

Remove parenthesis around (9 + 9n)
-4 + 6n = 9 + 9n + 4

Reorder the terms:
-4 + 6n = 9 + 4 + 9n

Combine like terms: 9 + 4 = 13
-4 + 6n = 13 + 9n

Solving
-4 + 6n = 13 + 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.
-4 + 6n + -9n = 13 + 9n + -9n

Combine like terms: 6n + -9n = -3n
-4 + -3n = 13 + 9n + -9n

Combine like terms: 9n + -9n = 0
-4 + -3n = 13 + 0
-4 + -3n = 13

Add '4' to each side of the equation.
-4 + 4 + -3n = 13 + 4

Combine like terms: -4 + 4 = 0
0 + -3n = 13 + 4
-3n = 13 + 4

Combine like terms: 13 + 4 = 17
-3n = 17

Divide each side by '-3'.
n = -5.666666667

Simplifying
n = -5.666666667

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