To rearrange the equation \( a = \frac{1}{2} b (cd + e) \) for the quantity \( b \), follow these steps:
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Multiply both sides by 2 to eliminate the fraction: \[ 2a = b (cd + e) \]
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Now, divide both sides by \( (cd + e) \) to isolate \( b \): \[ b = \frac{2a}{cd + e} \]
So, the rearranged equation for \( b \) is: \[ b = \frac{2a}{cd + e} \]