Math Algebra 2

m1v1 + m2v2=(m1+m2)v3 find m1
If you could please explain it too or show the steps I would appreciate it.

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  1. Assume all other variables are known.

    m1v1 + m2v2=(m1+m2)v3
    expand each side:
    m1v1 + m2v2= m1v3 + m2v3
    group terms containing m1 on the left, others on the right
    m1v1-m1v3 = m2v3 - m2v2
    Factorize m1 and m2
    m1(v1-v3) = m2(v3-v2)
    Divide by the coefficient of m1:
    m1 = m2(v3-v2)/(v1-v3)

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