Find the greatest value of $t$ such that  \[\frac{t^2 - t -56}{t-8} = \frac{3}{t+5}.\]
Question:
Find the greatest value of $t$ such that  \[\frac{t^2 - t -56}{t-8} = \frac{3}{t+5}.\]
Answer:
Let's think step by step.

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Find the greatest value of $t$ such that  \[\frac{t^2 - t -56}{t-8} = \frac{3}{t+5}.\]
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