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QuestionSolve for nn in the equation: 24=13n−4n+924=13n-4n+9.

Studdy Solution

STEP 1

Assumptions1. The equation is 24=13n−4n+924=13n-4n+9 . We are solving for the variable nn

STEP 2

First, we need to simplify the equation by combining like terms on the right side of the equation.24=13n−4n+924 =13n -4n +9

STEP 3

Combine the terms involving nn.
24=(13n−n)+924 = (13n -n) +9

STEP 4

implify the equation.
24=9n+924 =9n +9

STEP 5

Next, we need to isolate the variable nn on one side of the equation. We can do this by subtracting 99 from both sides of the equation.
24−9=9n+9−924 -9 =9n +9 -9

STEP 6

implify the equation.
15=9n15 =9n

STEP 7

Finally, we can solve for nn by dividing both sides of the equation by 99.
159=9n9\frac{15}{9} = \frac{9n}{9}

STEP 8

implify the equation.
n=15n = \frac{15}{}

STEP 9

Reduce the fraction to lowest terms.
n=53n = \frac{5}{3}So, n=53n = \frac{5}{3} is the solution to the equation 24=13n−4n+924=13n-4n+9.

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