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

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


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

Reorder the terms:
3(-2 + 3n) = (5n + 8) + 5
(-2 * 3 + 3n * 3) = (5n + 8) + 5
(-6 + 9n) = (5n + 8) + 5

Reorder the terms:
-6 + 9n = (8 + 5n) + 5

Remove parenthesis around (8 + 5n)
-6 + 9n = 8 + 5n + 5

Reorder the terms:
-6 + 9n = 8 + 5 + 5n

Combine like terms: 8 + 5 = 13
-6 + 9n = 13 + 5n

Solving
-6 + 9n = 13 + 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.
-6 + 9n + -5n = 13 + 5n + -5n

Combine like terms: 9n + -5n = 4n
-6 + 4n = 13 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 4n = 13 + 0
-6 + 4n = 13

Add '6' to each side of the equation.
-6 + 6 + 4n = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 13 + 6
4n = 13 + 6

Combine like terms: 13 + 6 = 19
4n = 19

Divide each side by '4'.
n = 4.75

Simplifying
n = 4.75

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