Problem

Solve the following formula for the specified variable.
\[
C=\frac{1}{2} f(q+b) \text { for } q
\]

Answer

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Answer

The solution to the equation is \(q = \boxed{\frac{2C}{f} - b}\)

Steps

Step 1 :Multiply both sides of the equation by 2 to get rid of the fraction: \(2C = f(q+b)\)

Step 2 :Divide both sides of the equation by f to isolate the term containing q: \(\frac{2C}{f} = q+b\)

Step 3 :Subtract b from both sides of the equation to solve for q: \(q = \frac{2C}{f} - b\)

Step 4 :The solution to the equation is \(q = \boxed{\frac{2C}{f} - b}\)

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