3(2n-5)=(8n+9)+8

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Solution for 3(2n-5)=(8n+9)+8 equation: 


Simplifying
3(2n + -5) = (8n + 9) + 8

Reorder the terms:
3(-5 + 2n) = (8n + 9) + 8
(-5 * 3 + 2n * 3) = (8n + 9) + 8
(-15 + 6n) = (8n + 9) + 8

Reorder the terms:
-15 + 6n = (9 + 8n) + 8

Remove parenthesis around (9 + 8n)
-15 + 6n = 9 + 8n + 8

Reorder the terms:
-15 + 6n = 9 + 8 + 8n

Combine like terms: 9 + 8 = 17
-15 + 6n = 17 + 8n

Solving
-15 + 6n = 17 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-15 + 6n + -8n = 17 + 8n + -8n

Combine like terms: 6n + -8n = -2n
-15 + -2n = 17 + 8n + -8n

Combine like terms: 8n + -8n = 0
-15 + -2n = 17 + 0
-15 + -2n = 17

Add '15' to each side of the equation.
-15 + 15 + -2n = 17 + 15

Combine like terms: -15 + 15 = 0
0 + -2n = 17 + 15
-2n = 17 + 15

Combine like terms: 17 + 15 = 32
-2n = 32

Divide each side by '-2'.
n = -16

Simplifying
n = -16

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