9(3n-3)=(8n+4)+9

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Solution for 9(3n-3)=(8n+4)+9 equation:


Simplifying
9(3n + -3) = (8n + 4) + 9

Reorder the terms:
9(-3 + 3n) = (8n + 4) + 9
(-3 * 9 + 3n * 9) = (8n + 4) + 9
(-27 + 27n) = (8n + 4) + 9

Reorder the terms:
-27 + 27n = (4 + 8n) + 9

Remove parenthesis around (4 + 8n)
-27 + 27n = 4 + 8n + 9

Reorder the terms:
-27 + 27n = 4 + 9 + 8n

Combine like terms: 4 + 9 = 13
-27 + 27n = 13 + 8n

Solving
-27 + 27n = 13 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-27 + 27n + -8n = 13 + 8n + -8n

Combine like terms: 27n + -8n = 19n
-27 + 19n = 13 + 8n + -8n

Combine like terms: 8n + -8n = 0
-27 + 19n = 13 + 0
-27 + 19n = 13

Add '27' to each side of the equation.
-27 + 27 + 19n = 13 + 27

Combine like terms: -27 + 27 = 0
0 + 19n = 13 + 27
19n = 13 + 27

Combine like terms: 13 + 27 = 40
19n = 40

Divide each side by '19'.
n = 2.105263158

Simplifying
n = 2.105263158

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