3(2n-5)=(3n+3)+8

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Solution for 3(2n-5)=(3n+3)+8 equation:


Simplifying
3(2n + -5) = (3n + 3) + 8

Reorder the terms:
3(-5 + 2n) = (3n + 3) + 8
(-5 * 3 + 2n * 3) = (3n + 3) + 8
(-15 + 6n) = (3n + 3) + 8

Reorder the terms:
-15 + 6n = (3 + 3n) + 8

Remove parenthesis around (3 + 3n)
-15 + 6n = 3 + 3n + 8

Reorder the terms:
-15 + 6n = 3 + 8 + 3n

Combine like terms: 3 + 8 = 11
-15 + 6n = 11 + 3n

Solving
-15 + 6n = 11 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-15 + 6n + -3n = 11 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-15 + 3n = 11 + 3n + -3n

Combine like terms: 3n + -3n = 0
-15 + 3n = 11 + 0
-15 + 3n = 11

Add '15' to each side of the equation.
-15 + 15 + 3n = 11 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = 11 + 15
3n = 11 + 15

Combine like terms: 11 + 15 = 26
3n = 26

Divide each side by '3'.
n = 8.666666667

Simplifying
n = 8.666666667

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