Hi there! :)
Answer:
[tex]\huge\boxed{v = -27}[/tex]
[tex]\frac{v-3}{4} = \frac{9+2v}{6}[/tex]
Cross multiply:
[tex]6 ( v - 3) = 4 ( 9 + 2v)[/tex]
Distribute:
[tex]6v - 18 = 36 + 8v[/tex]
Isolate the "v" variable:
[tex]6v - 18 + 18 = 36 + 18 + 8v[/tex]
[tex]6v = 54+ 8v[/tex]
[tex]6v - 8v = 54+ 8v - 8v[/tex]
[tex]-2v = 54\\\\v = -27[/tex]
