3(3n-5)=(6n+7)+1

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Solution for 3(3n-5)=(6n+7)+1 equation:


Simplifying
3(3n + -5) = (6n + 7) + 1

Reorder the terms:
3(-5 + 3n) = (6n + 7) + 1
(-5 * 3 + 3n * 3) = (6n + 7) + 1
(-15 + 9n) = (6n + 7) + 1

Reorder the terms:
-15 + 9n = (7 + 6n) + 1

Remove parenthesis around (7 + 6n)
-15 + 9n = 7 + 6n + 1

Reorder the terms:
-15 + 9n = 7 + 1 + 6n

Combine like terms: 7 + 1 = 8
-15 + 9n = 8 + 6n

Solving
-15 + 9n = 8 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-15 + 9n + -6n = 8 + 6n + -6n

Combine like terms: 9n + -6n = 3n
-15 + 3n = 8 + 6n + -6n

Combine like terms: 6n + -6n = 0
-15 + 3n = 8 + 0
-15 + 3n = 8

Add '15' to each side of the equation.
-15 + 15 + 3n = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = 8 + 15
3n = 8 + 15

Combine like terms: 8 + 15 = 23
3n = 23

Divide each side by '3'.
n = 7.666666667

Simplifying
n = 7.666666667

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