Answer:
v = 8/3
Explanation:
The goal here is to find the value of the variable, v, that makes this equation true. We go through a series of steps meant to isolate v on the left side and find the proper value to go on the right side. Here is one way of doing this:
Multiply, as indicated: 9v + 15 = 39.
Isolate 9v by subtracting 15 from both sides: 9v = 24.
Finally, divide both sides by 9 to obtain v = 8/3
An alternative approach follows:
Divide both sides of 3(3v + 5) = 39 by 3, obtaining 3v + 5 = 13.
Subtract 5 from both sides: 3v = 8
Divide both sides by 3: v = 8/3 (same as before)