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

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


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

Reorder the terms:
9(-2 + 3n) = (7n + 7) + 7
(-2 * 9 + 3n * 9) = (7n + 7) + 7
(-18 + 27n) = (7n + 7) + 7

Reorder the terms:
-18 + 27n = (7 + 7n) + 7

Remove parenthesis around (7 + 7n)
-18 + 27n = 7 + 7n + 7

Reorder the terms:
-18 + 27n = 7 + 7 + 7n

Combine like terms: 7 + 7 = 14
-18 + 27n = 14 + 7n

Solving
-18 + 27n = 14 + 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.
-18 + 27n + -7n = 14 + 7n + -7n

Combine like terms: 27n + -7n = 20n
-18 + 20n = 14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-18 + 20n = 14 + 0
-18 + 20n = 14

Add '18' to each side of the equation.
-18 + 18 + 20n = 14 + 18

Combine like terms: -18 + 18 = 0
0 + 20n = 14 + 18
20n = 14 + 18

Combine like terms: 14 + 18 = 32
20n = 32

Divide each side by '20'.
n = 1.6

Simplifying
n = 1.6

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