3(3n-5)=(2n+2)+7

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Solution for 3(3n-5)=(2n+2)+7 equation:


Simplifying
3(3n + -5) = (2n + 2) + 7

Reorder the terms:
3(-5 + 3n) = (2n + 2) + 7
(-5 * 3 + 3n * 3) = (2n + 2) + 7
(-15 + 9n) = (2n + 2) + 7

Reorder the terms:
-15 + 9n = (2 + 2n) + 7

Remove parenthesis around (2 + 2n)
-15 + 9n = 2 + 2n + 7

Reorder the terms:
-15 + 9n = 2 + 7 + 2n

Combine like terms: 2 + 7 = 9
-15 + 9n = 9 + 2n

Solving
-15 + 9n = 9 + 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.
-15 + 9n + -2n = 9 + 2n + -2n

Combine like terms: 9n + -2n = 7n
-15 + 7n = 9 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 7n = 9 + 0
-15 + 7n = 9

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

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

Combine like terms: 9 + 15 = 24
7n = 24

Divide each side by '7'.
n = 3.428571429

Simplifying
n = 3.428571429

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