6(3n-3)=(8n+9)+8

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Solution for 6(3n-3)=(8n+9)+8 equation:


Simplifying
6(3n + -3) = (8n + 9) + 8

Reorder the terms:
6(-3 + 3n) = (8n + 9) + 8
(-3 * 6 + 3n * 6) = (8n + 9) + 8
(-18 + 18n) = (8n + 9) + 8

Reorder the terms:
-18 + 18n = (9 + 8n) + 8

Remove parenthesis around (9 + 8n)
-18 + 18n = 9 + 8n + 8

Reorder the terms:
-18 + 18n = 9 + 8 + 8n

Combine like terms: 9 + 8 = 17
-18 + 18n = 17 + 8n

Solving
-18 + 18n = 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.
-18 + 18n + -8n = 17 + 8n + -8n

Combine like terms: 18n + -8n = 10n
-18 + 10n = 17 + 8n + -8n

Combine like terms: 8n + -8n = 0
-18 + 10n = 17 + 0
-18 + 10n = 17

Add '18' to each side of the equation.
-18 + 18 + 10n = 17 + 18

Combine like terms: -18 + 18 = 0
0 + 10n = 17 + 18
10n = 17 + 18

Combine like terms: 17 + 18 = 35
10n = 35

Divide each side by '10'.
n = 3.5

Simplifying
n = 3.5

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