Final answer:
The mathematical property demonstrated in the equation is the commutative property of addition, which states that the order of adding numbers does not affect the sum.
Step-by-step explanation:
The mathematical property demonstrated in the given equation is the commutative property of addition.
This property states that the order of adding numbers does not affect the sum.
- 5 + 3w + 2 = 5 + 2 + 3w
- Group like terms: 5 + 3w + 2 = 5 + 2 + 3w
- Rearrange the terms: 5 + 2 + 3w = 5 + 3w + 2
- The equation shows that no matter the order of adding the terms, the sum remains the same.