how can one make (m/n) the subject of the relation: ((1 - a)(m/v)) = (n/p) + b

Question

it is a change of subject of a relation question where the subject is not just one variable but an expression containing more than one variable

Answer 1

Let r=m/n, then m=nr which we can substitute into the given equation:

(1-a)(nr/v)=(n/p)+b.

Multiply through by pv:

pnr(1-a)=v(n+bp),

r=v(n+bp)/(pn(1-a)), so m/n=v(n+bp)/(pn(1-a)).