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I'm going to assume that you mean 5t = 3t - 10.
You solve for t in the following way. First combine like terms by subtracting 3t from both sides of the equation:
5t - 3t = 3t - 3t - 10,
2t = -10.
Next, isolate t by dividing both sides of the equation by 2:
2t/2 = -10/2,
t = -5.
To verify that this is the solution, plug this value of t back into the original equation:
5(-5) = 3(-5) - 10,
-25 = -15 - 10,
-25 = -25.
Since -25 does in fact equal -25, our value for t is correct.
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