Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.

Question

Step 1: [missing]

Step 2: 10+13a=10+13a

Step 3: The expressions are equivalent because they both equal the same value.

(1 point)
Responses

10+12a+a=10+13a
d plus 10 plus a equals 10 plus a plus d

12a+10+a−10=10+a+12a−10
d plus 10 plus a equals 10 plus a plus d

12a+10+a−a=10+a+12a−a
d plus 10 plus a equals 10 plus a plus d

12a+10=10+12a

Answer 1

To complete the proof using the Commutative Property, we need to rearrange the terms of the left-hand expression.

The correct missing step is:

Step 1: 10 + 12a + a = 10 + 13a

So the sequence of steps would be:

Step 1: 10 + 12a + a = 10 + 13a
Step 2: 10 + 13a = 10 + 13a
Step 3: The expressions are equivalent because they both equal the same value.

Thus, the final answer you are looking for is:

10 + 12a + a = 10 + 13a.