9(2n-1)=(8n+8)+9

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Solution for 9(2n-1)=(8n+8)+9 equation:


Simplifying
9(2n + -1) = (8n + 8) + 9

Reorder the terms:
9(-1 + 2n) = (8n + 8) + 9
(-1 * 9 + 2n * 9) = (8n + 8) + 9
(-9 + 18n) = (8n + 8) + 9

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

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

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

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

Solving
-9 + 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.
-9 + 18n + -8n = 17 + 8n + -8n

Combine like terms: 18n + -8n = 10n
-9 + 10n = 17 + 8n + -8n

Combine like terms: 8n + -8n = 0
-9 + 10n = 17 + 0
-9 + 10n = 17

Add '9' to each side of the equation.
-9 + 9 + 10n = 17 + 9

Combine like terms: -9 + 9 = 0
0 + 10n = 17 + 9
10n = 17 + 9

Combine like terms: 17 + 9 = 26
10n = 26

Divide each side by '10'.
n = 2.6

Simplifying
n = 2.6

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