Hey guys, don't fully understand how to change the subject of a pro numeral in a equation so I turned for you to help me.
$\displaystyle V = Mv/(M-m)$
Make "m" the subject.
(Anywhere I can learn math tags?)
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$\displaystyle V = Mv/(M-m)$ multiply by (M - m) to get rid of the denominator:
$\displaystyle V(M-m)=Mv$ divide by V
$\displaystyle M - m=\dfrac{Mv}{V}$ subtract M
$\displaystyle -m = \dfrac{Mv}{V} - M$ multiply both sides by (-1) to change the sign of m:
$\displaystyle m = M-\dfrac{Mv}{V}$
$\displaystyle m = \dfrac{MV - Mv}{V} ~\implies~\boxed{m = \dfrac{M(V - v)}{V}}$