3(3n-1)=(2n+5)+2

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Solution for 3(3n-1)=(2n+5)+2 equation:


Simplifying
3(3n + -1) = (2n + 5) + 2

Reorder the terms:
3(-1 + 3n) = (2n + 5) + 2
(-1 * 3 + 3n * 3) = (2n + 5) + 2
(-3 + 9n) = (2n + 5) + 2

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

Remove parenthesis around (5 + 2n)
-3 + 9n = 5 + 2n + 2

Reorder the terms:
-3 + 9n = 5 + 2 + 2n

Combine like terms: 5 + 2 = 7
-3 + 9n = 7 + 2n

Solving
-3 + 9n = 7 + 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.
-3 + 9n + -2n = 7 + 2n + -2n

Combine like terms: 9n + -2n = 7n
-3 + 7n = 7 + 2n + -2n

Combine like terms: 2n + -2n = 0
-3 + 7n = 7 + 0
-3 + 7n = 7

Add '3' to each side of the equation.
-3 + 3 + 7n = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 7n = 7 + 3
7n = 7 + 3

Combine like terms: 7 + 3 = 10
7n = 10

Divide each side by '7'.
n = 1.428571429

Simplifying
n = 1.428571429

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