9(3n-3)=(2n+7)+9

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


Simplifying
9(3n + -3) = (2n + 7) + 9

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

Reorder the terms:
-27 + 27n = (7 + 2n) + 9

Remove parenthesis around (7 + 2n)
-27 + 27n = 7 + 2n + 9

Reorder the terms:
-27 + 27n = 7 + 9 + 2n

Combine like terms: 7 + 9 = 16
-27 + 27n = 16 + 2n

Solving
-27 + 27n = 16 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-27 + 27n + -2n = 16 + 2n + -2n

Combine like terms: 27n + -2n = 25n
-27 + 25n = 16 + 2n + -2n

Combine like terms: 2n + -2n = 0
-27 + 25n = 16 + 0
-27 + 25n = 16

Add '27' to each side of the equation.
-27 + 27 + 25n = 16 + 27

Combine like terms: -27 + 27 = 0
0 + 25n = 16 + 27
25n = 16 + 27

Combine like terms: 16 + 27 = 43
25n = 43

Divide each side by '25'.
n = 1.72

Simplifying
n = 1.72

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