Can you help me with this math question please

Answer:
v=0.0943
Step-by-step explanation:
Hey I am Manal :) I am gonna try my best to explain this to you and if you still have a doubt just reply I would be happy to explain :)
The first step is cross multiplying [tex]\frac{8}{3}[/tex] with [tex]\frac{v-9}{7v-4}[/tex]
By doing this we would have like terms to add and simplify the equation
8 gets multiplied by 7v-4 and on the other side 3 gets multiplied by v-9
[tex]8(7v-4)=3(v-9)[/tex]
[tex]56v-32=3v-27[/tex]
Now get the like term on one side so 3v goes on the left + will turn into - and -32 goes to the right - will become +
[tex]56v-3v=-27+32[/tex]
Now simplify
[tex]53v=5[/tex]
To be able to find v take 53 on the other side, it is being multiplied by v to it will be divided with 5
[tex]v=\frac{5}{53}[/tex]
Now you can leave it like that or turn the fraction into a decimal
v=0.0943
Hope this helps :)