Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2. 22r - 13 19r + (3r - 2) - 11 explain it simple just the answer

Answer 1

To show that Expression 1, \( 22r - 13 \), is equivalent to Expression 2, \( 19r + (3r - 2) - 11 \), we can simplify Expression 2 using the Associative Property.

1. Start with Expression 2: \[ 19r + (3r - 2) - 11 \]

2. Apply the Associative Property to group \( 19r \) and \( 3r \): \[ (19r + 3r) - 2 - 11 \]

3. Combine \( 19r \) and \( 3r \): \[ 22r - 2 - 11 \]

4. Now, simplify \( -2 - 11 \): \[ 22r - 13 \]

So, after simplifying Expression 2, we get: \[ 22r - 13 \] This shows that both expressions are equivalent.