So I was trying to figure out how the total angular momentum for the collection of particles is derived. Here in Wikipedia https://en.wikipedia.org/wiki/Angular_momentum#Center_of_mass is the derivation, but there is this one part that I do not understand. How does the term
$$ \sum_ir_i\times m_iV $$
vanish? I also know that $\sum_i m_ir_i=0$, but how does that help making the term vanish?