Answer
$r=\frac{S-P}{Pt}$
Work Step by Step
$S=P+Prt$
Solve for $r$
Add $-P$ to both sides.
$S-P=P+Prt-P$
$S-P=Prt$
Divide by $Pt$ both sides
$\frac{S-P}{Pt}=\frac{Prt}{Pt}$
$\frac{S-P}{Pt}=r$
$r=\frac{S-P}{Pt}$
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