Final answer:
To simplify the given equation, you need to distribute the numbers, combine like terms, and then isolate the variable v.
Step-by-step explanation:
To simplify the given equation, we can first distribute the numbers on both sides of the equation:
5(v+4) = -4(5v-7) + 7v
This becomes:
5v + 20 = -20v + 28 + 7v
Next, we can combine like terms:
5v + 20 = -13v + 28
Now, add 13v to both sides:
18v + 20 = 28
Finally, subtract 20 from both sides:
18v = 8
So, the simplified answer is v = 8/18, which can be further simplified as v = 4/9.