113.5=7.75n+4.5(18-n)

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Solution for 113.5=7.75n+4.5(18-n) equation: 


Simplifying
113.5 = 7.75n + 4.5(18 + -1n)
113.5 = 7.75n + (18 * 4.5 + -1n * 4.5)
113.5 = 7.75n + (81 + -4.5n)

Reorder the terms:
113.5 = 81 + 7.75n + -4.5n

Combine like terms: 7.75n + -4.5n = 3.25n
113.5 = 81 + 3.25n

Solving
113.5 = 81 + 3.25n

Solving for variable 'n'.

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

Add '-3.25n' to each side of the equation.
113.5 + -3.25n = 81 + 3.25n + -3.25n

Combine like terms: 3.25n + -3.25n = 0.00
113.5 + -3.25n = 81 + 0.00
113.5 + -3.25n = 81

Add '-113.5' to each side of the equation.
113.5 + -113.5 + -3.25n = 81 + -113.5

Combine like terms: 113.5 + -113.5 = 0.0
0.0 + -3.25n = 81 + -113.5
-3.25n = 81 + -113.5

Combine like terms: 81 + -113.5 = -32.5
-3.25n = -32.5

Divide each side by '-3.25'.
n = 10

Simplifying
n = 10

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