Final answer:
The equation -3 + 9v = 8v - 10 has a single solution, v = -2.
Step-by-step explanation:
To determine the number of solutions to the equation -3 + 9v = 8v - 10, we need to simplify and solve for v. First, we can combine like terms on both sides: -3v = -10 - 8v. Next, we can add 8v to both sides: 5v = -10. Finally, we can divide both sides by 5 to solve for v: v = -2.
Therefore, this equation has a single solution, which is v = -2.