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

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


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

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

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

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

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

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

Solving
-6 + 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.
-6 + 6n + -8n = 17 + 8n + -8n

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

Combine like terms: 8n + -8n = 0
-6 + -2n = 17 + 0
-6 + -2n = 17

Add '6' to each side of the equation.
-6 + 6 + -2n = 17 + 6

Combine like terms: -6 + 6 = 0
0 + -2n = 17 + 6
-2n = 17 + 6

Combine like terms: 17 + 6 = 23
-2n = 23

Divide each side by '-2'.
n = -11.5

Simplifying
n = -11.5

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