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

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


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

Reorder the terms:
3(-2 + 2n) = (9n + 2) + 7
(-2 * 3 + 2n * 3) = (9n + 2) + 7
(-6 + 6n) = (9n + 2) + 7

Reorder the terms:
-6 + 6n = (2 + 9n) + 7

Remove parenthesis around (2 + 9n)
-6 + 6n = 2 + 9n + 7

Reorder the terms:
-6 + 6n = 2 + 7 + 9n

Combine like terms: 2 + 7 = 9
-6 + 6n = 9 + 9n

Solving
-6 + 6n = 9 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-6 + 6n + -9n = 9 + 9n + -9n

Combine like terms: 6n + -9n = -3n
-6 + -3n = 9 + 9n + -9n

Combine like terms: 9n + -9n = 0
-6 + -3n = 9 + 0
-6 + -3n = 9

Add '6' to each side of the equation.
-6 + 6 + -3n = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -3n = 9 + 6
-3n = 9 + 6

Combine like terms: 9 + 6 = 15
-3n = 15

Divide each side by '-3'.
n = -5

Simplifying
n = -5

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