5(3n-4)=(3n+8)+9

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Solution for 5(3n-4)=(3n+8)+9 equation:


Simplifying
5(3n + -4) = (3n + 8) + 9

Reorder the terms:
5(-4 + 3n) = (3n + 8) + 9
(-4 * 5 + 3n * 5) = (3n + 8) + 9
(-20 + 15n) = (3n + 8) + 9

Reorder the terms:
-20 + 15n = (8 + 3n) + 9

Remove parenthesis around (8 + 3n)
-20 + 15n = 8 + 3n + 9

Reorder the terms:
-20 + 15n = 8 + 9 + 3n

Combine like terms: 8 + 9 = 17
-20 + 15n = 17 + 3n

Solving
-20 + 15n = 17 + 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.
-20 + 15n + -3n = 17 + 3n + -3n

Combine like terms: 15n + -3n = 12n
-20 + 12n = 17 + 3n + -3n

Combine like terms: 3n + -3n = 0
-20 + 12n = 17 + 0
-20 + 12n = 17

Add '20' to each side of the equation.
-20 + 20 + 12n = 17 + 20

Combine like terms: -20 + 20 = 0
0 + 12n = 17 + 20
12n = 17 + 20

Combine like terms: 17 + 20 = 37
12n = 37

Divide each side by '12'.
n = 3.083333333

Simplifying
n = 3.083333333

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