Respuesta :

You have to use distributive property to move the 1/2 over to the w and the v

Answer:

The value of the equation for v is 13w.

Step-by-step explanation:

Consider the provided equation.

[tex]7w= \frac{1}{2}(w+v)[/tex]

We need to solve the equation for v.

Multiply both the sides by 2.

[tex]2\times7w= 2\times\frac{1}{2}(w+v)[/tex]

Simplify the equation.

[tex]14w=w+v[/tex]

Subtract w from both the sides.

[tex]14w-w=w-w+v[/tex]

[tex]v=13w[/tex]

Hence, the value of the equation for v is 13w.