Answer and Step-by-step explanation:
First, let's convert all of the denominators to have the same denominator.
A common denominator 2, 3, and 5 share in common is 30.
((-1/2) * 15/15) + ((-2/3 v) * 10/10) = ((4/5) * 6/6)
-15/30 + -20/30v = 24/30
Add 15/30 to both sides.
-20/30v = 39/30
Multiply by -30/20 on both sides to get v.
v = [tex]-\frac{39}{20}[/tex] is the answer.
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