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Q1: Why does this article describe the boogaloo movement as "far right"?
A1: A June–July 2020 RfC (permalink) determined that the overwhelming majority of reliable sources describe the movement as far-right. Even though some sources may use other descriptors for the movement, or individuals and groups may self-describe differently, this article reflects the commonly-used descriptors for the movement, which include "far-right". Please note that now that the inclusion of this descriptor has been confirmed by formal consensus, new consensus will need to be achieved (likely by RfC) to change it.
Q2: Why does this article describe the boogaloo movement as "white supremacist"?
A1: This article does not state that all boogaloo groups or the movement as a whole is white supremacist, but rather that some of the groups are—a claim that is well-supported by the sourcing. The article also says that some other groups condemn racism and white supremacy, and have aligned themselves with anti-racist movements like Black Lives Matter.