6(3n+3)=9(n+2)

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


Simplifying
6(3n + 3) = 9(n + 2)

Reorder the terms:
6(3 + 3n) = 9(n + 2)
(3 * 6 + 3n * 6) = 9(n + 2)
(18 + 18n) = 9(n + 2)

Reorder the terms:
18 + 18n = 9(2 + n)
18 + 18n = (2 * 9 + n * 9)
18 + 18n = (18 + 9n)

Add '-18' to each side of the equation.
18 + -18 + 18n = 18 + -18 + 9n

Combine like terms: 18 + -18 = 0
0 + 18n = 18 + -18 + 9n
18n = 18 + -18 + 9n

Combine like terms: 18 + -18 = 0
18n = 0 + 9n
18n = 9n

Solving
18n = 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.
18n + -9n = 9n + -9n

Combine like terms: 18n + -9n = 9n
9n = 9n + -9n

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

Divide each side by '9'.
n = 0

Simplifying
n = 0

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