24.5-8.5n=2.5(9n-9.5)

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Solution for 24.5-8.5n=2.5(9n-9.5) equation: 


Simplifying
24.5 + -8.5n = 2.5(9n + -9.5)

Reorder the terms:
24.5 + -8.5n = 2.5(-9.5 + 9n)
24.5 + -8.5n = (-9.5 * 2.5 + 9n * 2.5)
24.5 + -8.5n = (-23.75 + 22.5n)

Solving
24.5 + -8.5n = -23.75 + 22.5n

Solving for variable 'n'.

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

Add '-22.5n' to each side of the equation.
24.5 + -8.5n + -22.5n = -23.75 + 22.5n + -22.5n

Combine like terms: -8.5n + -22.5n = -31n
24.5 + -31n = -23.75 + 22.5n + -22.5n

Combine like terms: 22.5n + -22.5n = 0.0
24.5 + -31n = -23.75 + 0.0
24.5 + -31n = -23.75

Add '-24.5' to each side of the equation.
24.5 + -24.5 + -31n = -23.75 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + -31n = -23.75 + -24.5
-31n = -23.75 + -24.5

Combine like terms: -23.75 + -24.5 = -48.25
-31n = -48.25

Divide each side by '-31'.
n = 1.556451613

Simplifying
n = 1.556451613

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