# A=p+prt for t

$A=p+prt$ for t
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We are given:
$A=p+prt$
Subtract p from both sides:
$A-p=p+prt-p$
$A-p=prt$
Divide both sides by prpr:
$\frac{A-p}{pr}=\frac{prt}{pr}$
$\frac{A-p}{pr}=t$
or
$t=\left\{A-p\right\}\left\{pr\right\}$