Answer:
v = 13w
Step-by-step explanation:
[tex]7w = \frac{1}{2} (w+v)\\\\7w =\frac{(w+v)}{2} \\\\Cross\:Multiply\\7w\times 2 =w+v\\\\14w = w+v\\\\Collect\:like\:terms\\14w-w =v\\\\v = 13w[/tex]