A=p+prt, for t

how about subtracting p from both sides, then dividing both sides by pr

I think it could be A divided by p, then the quotient of that minus the product of r and t.

if you divide by p first you get

A/p = 1 + rt

then A/p - 1 = rt
now you still have to divide by r
(A/p - 1)/r = t looks pretty messy

the way I had suggested:
A-p = prt
(A-p)/(pr) = t

Sorry, I don't have a clue what I was talking about, I'm just waiting around for my questions to be answered and looking at the other posts. don't mind me:')