3(3n-1)=(5n+7)+7

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Solution for 3(3n-1)=(5n+7)+7 equation:


Simplifying
3(3n + -1) = (5n + 7) + 7

Reorder the terms:
3(-1 + 3n) = (5n + 7) + 7
(-1 * 3 + 3n * 3) = (5n + 7) + 7
(-3 + 9n) = (5n + 7) + 7

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

Remove parenthesis around (7 + 5n)
-3 + 9n = 7 + 5n + 7

Reorder the terms:
-3 + 9n = 7 + 7 + 5n

Combine like terms: 7 + 7 = 14
-3 + 9n = 14 + 5n

Solving
-3 + 9n = 14 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-3 + 9n + -5n = 14 + 5n + -5n

Combine like terms: 9n + -5n = 4n
-3 + 4n = 14 + 5n + -5n

Combine like terms: 5n + -5n = 0
-3 + 4n = 14 + 0
-3 + 4n = 14

Add '3' to each side of the equation.
-3 + 3 + 4n = 14 + 3

Combine like terms: -3 + 3 = 0
0 + 4n = 14 + 3
4n = 14 + 3

Combine like terms: 14 + 3 = 17
4n = 17

Divide each side by '4'.
n = 4.25

Simplifying
n = 4.25

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