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

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


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

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

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

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

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

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

Solving
-9 + 9n = 9 + 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 + 9n + -7n = 9 + 7n + -7n

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

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

Add '9' to each side of the equation.
-9 + 9 + 2n = 9 + 9

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

Combine like terms: 9 + 9 = 18
2n = 18

Divide each side by '2'.
n = 9

Simplifying
n = 9

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