9(3n-1)=(7n+7)+8

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Solution for 9(3n-1)=(7n+7)+8 equation:


Simplifying
9(3n + -1) = (7n + 7) + 8

Reorder the terms:
9(-1 + 3n) = (7n + 7) + 8
(-1 * 9 + 3n * 9) = (7n + 7) + 8
(-9 + 27n) = (7n + 7) + 8

Reorder the terms:
-9 + 27n = (7 + 7n) + 8

Remove parenthesis around (7 + 7n)
-9 + 27n = 7 + 7n + 8

Reorder the terms:
-9 + 27n = 7 + 8 + 7n

Combine like terms: 7 + 8 = 15
-9 + 27n = 15 + 7n

Solving
-9 + 27n = 15 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-9 + 27n + -7n = 15 + 7n + -7n

Combine like terms: 27n + -7n = 20n
-9 + 20n = 15 + 7n + -7n

Combine like terms: 7n + -7n = 0
-9 + 20n = 15 + 0
-9 + 20n = 15

Add '9' to each side of the equation.
-9 + 9 + 20n = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 20n = 15 + 9
20n = 15 + 9

Combine like terms: 15 + 9 = 24
20n = 24

Divide each side by '20'.
n = 1.2

Simplifying
n = 1.2

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