Final answer:
To solve the equation 2|v|=16, divide both sides by 2 to get |v| = 8. The solutions are v = 8 and v = -8.
Step-by-step explanation:
To solve the equation 2|v|=16, we need to isolate the variable v. First, we divide both sides of the equation by 2 to get |v| = 8. Then, we consider two cases: v = 8 and v = -8. When v = 8, the absolute value of 8 is 8. When v = -8, the absolute value of -8 is also 8. Therefore, the solutions to the equation are v = 8 and v = -8.