Question 211195
{{{T=3vs-4ws+5vw}}}



{{{T+4ws=3vs+5vw}}} Add 4ws to both sides.



{{{T+4ws=v(3s+5w)}}} Factor out the GCF 'v' on the right side



{{{(T+4ws)/(3s+5w)=v}}} Divide both sides by {{{3s+5w}}} to isolate 'v'.



{{{v=(T+4ws)/(3s+5w)}}} Rearrange the equation.



So the solution is {{{v=(T+4ws)/(3s+5w)}}}



Note: you made a mistake in thinking that you can combine 3s and 5w to get 8sw....the terms 3s and 5w are NOT like terms, so they CANNOT be combined.