Problem

Solve for $n$.
\[
K=\frac{a}{b(c+n)}
\]
\[
n=
\]

Answer

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Answer

Final Answer: \(n = \boxed{-c + \frac{a}{Kb}}\)

Steps

Step 1 :Multiply both sides of the equation by \(b(c+n)\) to get rid of the denominator on the right side, resulting in \(Kb(c+n) = a\).

Step 2 :Distribute \(bK\) to \(c\) and \(n\), resulting in \(Kbc + Kbn = a\).

Step 3 :Subtract \(bcK\) from both sides to isolate \(n\), resulting in \(n = -c + \frac{a}{Kb}\).

Step 4 :Final Answer: \(n = \boxed{-c + \frac{a}{Kb}}\)

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