3(4n+1)-9n=6(2-n)

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Solution for 3(4n+1)-9n=6(2-n) equation:


Simplifying
3(4n + 1) + -9n = 6(2 + -1n)

Reorder the terms:
3(1 + 4n) + -9n = 6(2 + -1n)
(1 * 3 + 4n * 3) + -9n = 6(2 + -1n)
(3 + 12n) + -9n = 6(2 + -1n)

Combine like terms: 12n + -9n = 3n
3 + 3n = 6(2 + -1n)
3 + 3n = (2 * 6 + -1n * 6)
3 + 3n = (12 + -6n)

Solving
3 + 3n = 12 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
3 + 3n + 6n = 12 + -6n + 6n

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

Combine like terms: -6n + 6n = 0
3 + 9n = 12 + 0
3 + 9n = 12

Add '-3' to each side of the equation.
3 + -3 + 9n = 12 + -3

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

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

Divide each side by '9'.
n = 1

Simplifying
n = 1

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