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

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


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

Reorder the terms:
9(-2 + 3n) = (6n + 1) + 6
(-2 * 9 + 3n * 9) = (6n + 1) + 6
(-18 + 27n) = (6n + 1) + 6

Reorder the terms:
-18 + 27n = (1 + 6n) + 6

Remove parenthesis around (1 + 6n)
-18 + 27n = 1 + 6n + 6

Reorder the terms:
-18 + 27n = 1 + 6 + 6n

Combine like terms: 1 + 6 = 7
-18 + 27n = 7 + 6n

Solving
-18 + 27n = 7 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-18 + 27n + -6n = 7 + 6n + -6n

Combine like terms: 27n + -6n = 21n
-18 + 21n = 7 + 6n + -6n

Combine like terms: 6n + -6n = 0
-18 + 21n = 7 + 0
-18 + 21n = 7

Add '18' to each side of the equation.
-18 + 18 + 21n = 7 + 18

Combine like terms: -18 + 18 = 0
0 + 21n = 7 + 18
21n = 7 + 18

Combine like terms: 7 + 18 = 25
21n = 25

Divide each side by '21'.
n = 1.19047619

Simplifying
n = 1.19047619

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