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

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


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

Reorder the terms:
9(2 + 3n) = 6(3n + 4) + 3
(2 * 9 + 3n * 9) = 6(3n + 4) + 3
(18 + 27n) = 6(3n + 4) + 3

Reorder the terms:
18 + 27n = 6(4 + 3n) + 3
18 + 27n = (4 * 6 + 3n * 6) + 3
18 + 27n = (24 + 18n) + 3

Reorder the terms:
18 + 27n = 24 + 3 + 18n

Combine like terms: 24 + 3 = 27
18 + 27n = 27 + 18n

Solving
18 + 27n = 27 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
18 + 27n + -18n = 27 + 18n + -18n

Combine like terms: 27n + -18n = 9n
18 + 9n = 27 + 18n + -18n

Combine like terms: 18n + -18n = 0
18 + 9n = 27 + 0
18 + 9n = 27

Add '-18' to each side of the equation.
18 + -18 + 9n = 27 + -18

Combine like terms: 18 + -18 = 0
0 + 9n = 27 + -18
9n = 27 + -18

Combine like terms: 27 + -18 = 9
9n = 9

Divide each side by '9'.
n = 1

Simplifying
n = 1

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