∣−b+6∣=
9
The absolute value expression ∣−b+6∣ is equal to 9.
This means that the distance between −b+6 and 0 is equal to 9 units.
Therefore, there are two possible solutions for −b+6: 9 and -9, such that the absolute value of −b+6 is 9.
Case 1: If −b+6 = 9,
- b = 9 - 6
- b = 3
b = -3
Case 2: If −b+6 = -9,
- b = -9 - 6
- b = -15
b = 15
Therefore, the two possible solutions for b are b = -3 and b = 15.