9(3n-1)=(3n+5)+3

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Solution for 9(3n-1)=(3n+5)+3 equation:


Simplifying
9(3n + -1) = (3n + 5) + 3

Reorder the terms:
9(-1 + 3n) = (3n + 5) + 3
(-1 * 9 + 3n * 9) = (3n + 5) + 3
(-9 + 27n) = (3n + 5) + 3

Reorder the terms:
-9 + 27n = (5 + 3n) + 3

Remove parenthesis around (5 + 3n)
-9 + 27n = 5 + 3n + 3

Reorder the terms:
-9 + 27n = 5 + 3 + 3n

Combine like terms: 5 + 3 = 8
-9 + 27n = 8 + 3n

Solving
-9 + 27n = 8 + 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.
-9 + 27n + -3n = 8 + 3n + -3n

Combine like terms: 27n + -3n = 24n
-9 + 24n = 8 + 3n + -3n

Combine like terms: 3n + -3n = 0
-9 + 24n = 8 + 0
-9 + 24n = 8

Add '9' to each side of the equation.
-9 + 9 + 24n = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 24n = 8 + 9
24n = 8 + 9

Combine like terms: 8 + 9 = 17
24n = 17

Divide each side by '24'.
n = 0.7083333333

Simplifying
n = 0.7083333333

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