Answer: v = 8, 5; The sum of these values would be 13.
∣2v − 13∣ + 6 = 9
Combine like terms, utilizing the properties of equality. Do not forget to follow the order of operations!
∣2v − 13∣ + 6 = 9
Subtract 6 from both sides of the equation.
∣2v − 13∣ = 3
Consider the definition of absolute value (distance from the number zero); the absolute value of x and -x would both be x.
2v − 13 = 3
2v − 13 = −3
Add 13 to both sides of the equation.
2v = 16
2v = 10
Divide both sides of the equation by 2.
v = 8
v = 5
Add the sum of the values.
8 + 5 = 13