Final answer:
The equation b-2 = 3b+8 is not an example of the commutative property of addition because the terms are not in the same order on both sides of the equal sign. Rearranging the equation allows us to solve for b.
Step-by-step explanation:
The equation given, b-2 = 3b+8, is not an example because it does not satisfy the property of addition known as the commutative property. The commutative property states that for any two numbers a and b, a + b = b + a. In this case, the equation violates the commutative property because the terms b and -2 are not in the same order as the terms 3b and 8.
To illustrate this, let's rearrange the equation: 3b + 8 = b - 2. Now, we can combine like terms and solve for b. Subtracting b from both sides gives us 2b + 8 = -2. Subtracting 8 from both sides gives us 2b = -10. Finally, dividing by 2 gives us b = -5.