Chapter 1 - Foundations for Algebra - 1-4 Properties of Real Numbers - Practice and Problem-Solving Exercises - Page 27: 43

Yes, the expressions are equivalent.

We start by simplifying the first expression, $(3+7)+m$, using the order of operations: We simplify inside the parentheses: $10+m$ The second expression is $m+10$ The commutative property of addition states that changing the order of the addends does not affect the sum. Therefore, $10+m=m+10$, and the expressions are equivalent.