Question 211195
T=3vs-4ws+5vw  solve for V please I got v= t+4ws/8sw

Step 1:  Given:  T=3vs-4ws+5vw

Step 2:  Group terms containing v on right side of equation and other terms not containing v on left side.  Here's how it works:

Step 2a.  Add 4ws to both sides of equation:  T+4ws=3vs-4ws+4ws+5vw.  Note on right side of equation: -4ws+4ws=0 to simplify on next step

Step 2b.  Simplify right side:  T+4ws=3vs+5vw  Again note we used: -4ws+4ws=0 

Step 3.  Now Solve for v by factoring and divide.  Here's how it works:

Step 3a.  Factor out v on right side:  T+4ws=v(3s+5w)

Step 3b.  You want to isolate v by itself.  Now divide (3s+5w)in both sides of equations:  (T+4ws)/(3s+5w)=v(3s+5w)/(3s+5w).  Note: On right side (3s+4w)/(3s+5w)=1.  So we can simplify in final step.

Step 3c.  (T+4ws)/(3s+5w)=v

Step 4.  We can rewrite final answer as v=(T+4ws)/(3s+5w)