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

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


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

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

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

Reorder the terms:
9 + 6n = 9 + 9n + -3n + -3n

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

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

Add '-9' to each side of the equation.
9 + -9 + 6n = 9 + -9 + 3n

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

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

Solving
6n = 3n

Solving for variable 'n'.

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

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

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

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

Divide each side by '3'.
n = 0

Simplifying
n = 0

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