A merry-go-round starts from rest and undergoes an angular acceleration of 2 rad/s2 for 30 seconds. Then, the merry- go-round is slowed down by applying the brakes, which applies an angular acceleration of -1 rad/s² for a total time of 10 seconds. What is the final angular velocity of the merry-go-round? Write your answer down in units of radians per second (rad/s), but only write down the number part of your answer.
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