9(3n+1)=6(3n+7)+2

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Solution for 9(3n+1)=6(3n+7)+2 equation:


Simplifying
9(3n + 1) = 6(3n + 7) + 2

Reorder the terms:
9(1 + 3n) = 6(3n + 7) + 2
(1 * 9 + 3n * 9) = 6(3n + 7) + 2
(9 + 27n) = 6(3n + 7) + 2

Reorder the terms:
9 + 27n = 6(7 + 3n) + 2
9 + 27n = (7 * 6 + 3n * 6) + 2
9 + 27n = (42 + 18n) + 2

Reorder the terms:
9 + 27n = 42 + 2 + 18n

Combine like terms: 42 + 2 = 44
9 + 27n = 44 + 18n

Solving
9 + 27n = 44 + 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.
9 + 27n + -18n = 44 + 18n + -18n

Combine like terms: 27n + -18n = 9n
9 + 9n = 44 + 18n + -18n

Combine like terms: 18n + -18n = 0
9 + 9n = 44 + 0
9 + 9n = 44

Add '-9' to each side of the equation.
9 + -9 + 9n = 44 + -9

Combine like terms: 9 + -9 = 0
0 + 9n = 44 + -9
9n = 44 + -9

Combine like terms: 44 + -9 = 35
9n = 35

Divide each side by '9'.
n = 3.888888889

Simplifying
n = 3.888888889

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