Why is “nous nous sommes brossés les cheveux” wrong, your answer says it should be “nous nous sommes brossé les cheveux.? Please would you explain why nous takes a singular ending, as in your examples, you use “nous sommes allés”.
Please take a look at my answer to the same question which has been asked previously -
Just for reference:
The participle agrees in number and gender IF the COD precedes it. In this case, the COD is les cheveux and not nous. Therefore, the participle is not in plural. The second nous is actually the indirect object.
Nous nous sommes brossé les cheveux. -- We brushed our hair.
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