Rearrange the formula $\dfrac{1}{a}-\dfrac{1}{2b}=\dfrac{1}{3c}$ to make $b$ the subject. Answer b = ...

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Worked solution

1. Isolate the term containing $b$.

$\frac{1}{a}-\frac{1}{2b}=\frac{1}{3c}$
$\frac{1}{2b}=\frac{1}{a}-\frac{1}{3c}$

2. Combine the right-hand side and solve for $b$.

$\frac{1}{2b}=\frac{3c-a}{3ac}$
Taking reciprocals,
$2b=\frac{3ac}{3c-a}$
$b=\frac{3ac}{2(3c-a)}$

Answer

$b=\dfrac{3ac}{2(3c-a)}$

AI analysis — may contain mistakes.

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