2(3n-1)=(9n+8)+4

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Solution for 2(3n-1)=(9n+8)+4 equation:


Simplifying
2(3n + -1) = (9n + 8) + 4

Reorder the terms:
2(-1 + 3n) = (9n + 8) + 4
(-1 * 2 + 3n * 2) = (9n + 8) + 4
(-2 + 6n) = (9n + 8) + 4

Reorder the terms:
-2 + 6n = (8 + 9n) + 4

Remove parenthesis around (8 + 9n)
-2 + 6n = 8 + 9n + 4

Reorder the terms:
-2 + 6n = 8 + 4 + 9n

Combine like terms: 8 + 4 = 12
-2 + 6n = 12 + 9n

Solving
-2 + 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.
-2 + 6n + -9n = 12 + 9n + -9n

Combine like terms: 6n + -9n = -3n
-2 + -3n = 12 + 9n + -9n

Combine like terms: 9n + -9n = 0
-2 + -3n = 12 + 0
-2 + -3n = 12

Add '2' to each side of the equation.
-2 + 2 + -3n = 12 + 2

Combine like terms: -2 + 2 = 0
0 + -3n = 12 + 2
-3n = 12 + 2

Combine like terms: 12 + 2 = 14
-3n = 14

Divide each side by '-3'.
n = -4.666666667

Simplifying
n = -4.666666667

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