9(2n-2)=(3n+6)+5

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Solution for 9(2n-2)=(3n+6)+5 equation:


Simplifying
9(2n + -2) = (3n + 6) + 5

Reorder the terms:
9(-2 + 2n) = (3n + 6) + 5
(-2 * 9 + 2n * 9) = (3n + 6) + 5
(-18 + 18n) = (3n + 6) + 5

Reorder the terms:
-18 + 18n = (6 + 3n) + 5

Remove parenthesis around (6 + 3n)
-18 + 18n = 6 + 3n + 5

Reorder the terms:
-18 + 18n = 6 + 5 + 3n

Combine like terms: 6 + 5 = 11
-18 + 18n = 11 + 3n

Solving
-18 + 18n = 11 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-18 + 18n + -3n = 11 + 3n + -3n

Combine like terms: 18n + -3n = 15n
-18 + 15n = 11 + 3n + -3n

Combine like terms: 3n + -3n = 0
-18 + 15n = 11 + 0
-18 + 15n = 11

Add '18' to each side of the equation.
-18 + 18 + 15n = 11 + 18

Combine like terms: -18 + 18 = 0
0 + 15n = 11 + 18
15n = 11 + 18

Combine like terms: 11 + 18 = 29
15n = 29

Divide each side by '15'.
n = 1.933333333

Simplifying
n = 1.933333333

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