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8500(0.95)t=400t+2000
We move all terms to the left:
8500(0.95)t-(400t+2000)=0
We multiply parentheses
8075t-(400t+2000)=0
We get rid of parentheses
8075t-400t-2000=0
We add all the numbers together, and all the variables
7675t-2000=0
We move all terms containing t to the left, all other terms to the right
7675t=2000
t=2000/7675
t=80/307
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