angular momentum question

1. The problem statement, all variables and given/known data

can someone explain why angular momentum is conserved about O and how they got that statement for the conservation of angular momentum about O

2. Relevant equations

M(P) = d/dt (h(P)) + v(P) x mv(G)

h(P) = I(G)w + r(G/P) x mv(G)

3. The attempt at a solution

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