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Find $p+q$, given that $(q+4)(p+3)-(q+2)(p+1)=44$.

 Aug 27, 2022
 #1
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Simplify: \((qp + 4p + 3q + 12) - (qp + 2p + q + 2) = 44 \)

 

Combine like terms: \(2p + 2q + 10 = 44\)

 

Subtract 10 from both sides: \(2p + 2q = 34\)

 

Divide both sides by 2: \(q + p = \color{brown}\boxed{17}\)

 Aug 28, 2022

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