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solve angular speed based on moment of inertia

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An ice skater has a moment of inertia of 5.0 kg-m^2 when her arms are outstretched. At this time, she is spinning at 3.0 revolutions per second. If she pulls her arms in, she decreases her moment of inertia to 2.0 kg-m^2. How fast is she spinning then?
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The solution provides detailed steps how to solve angular speed based on known moment of inertia.

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In this question, there is a conservation of angular momentum.

Angular momentum = ...

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