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

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


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

Reorder the terms:
3(-5 + 3n) = (2n + 8) + 3
(-5 * 3 + 3n * 3) = (2n + 8) + 3
(-15 + 9n) = (2n + 8) + 3

Reorder the terms:
-15 + 9n = (8 + 2n) + 3

Remove parenthesis around (8 + 2n)
-15 + 9n = 8 + 2n + 3

Reorder the terms:
-15 + 9n = 8 + 3 + 2n

Combine like terms: 8 + 3 = 11
-15 + 9n = 11 + 2n

Solving
-15 + 9n = 11 + 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.
-15 + 9n + -2n = 11 + 2n + -2n

Combine like terms: 9n + -2n = 7n
-15 + 7n = 11 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 7n = 11 + 0
-15 + 7n = 11

Add '15' to each side of the equation.
-15 + 15 + 7n = 11 + 15

Combine like terms: -15 + 15 = 0
0 + 7n = 11 + 15
7n = 11 + 15

Combine like terms: 11 + 15 = 26
7n = 26

Divide each side by '7'.
n = 3.714285714

Simplifying
n = 3.714285714

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