The properties that justify the equations are:
- For \( m + 2 = 2 + m \): Commutative Property
- For \( d \cdot 0 = 0 \): Zero Product Property
- For \( -b + b = 0 \): Inverse Property
Thus, the answers are:
- Commutative Property
- Zero Product Property
- Inverse Property
\[
\boxed{\text{Commutative, Zero Product, Inverse}}
\]