8(6-n)+65=9+5n

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Solution for 8(6-n)+65=9+5n equation:


Simplifying
8(6 + -1n) + 65 = 9 + 5n
(6 * 8 + -1n * 8) + 65 = 9 + 5n
(48 + -8n) + 65 = 9 + 5n

Reorder the terms:
48 + 65 + -8n = 9 + 5n

Combine like terms: 48 + 65 = 113
113 + -8n = 9 + 5n

Solving
113 + -8n = 9 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
113 + -8n + -5n = 9 + 5n + -5n

Combine like terms: -8n + -5n = -13n
113 + -13n = 9 + 5n + -5n

Combine like terms: 5n + -5n = 0
113 + -13n = 9 + 0
113 + -13n = 9

Add '-113' to each side of the equation.
113 + -113 + -13n = 9 + -113

Combine like terms: 113 + -113 = 0
0 + -13n = 9 + -113
-13n = 9 + -113

Combine like terms: 9 + -113 = -104
-13n = -104

Divide each side by '-13'.
n = 8

Simplifying
n = 8

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