Use the commutative and associative properties as needed to simplify the expression.
left parenthesis 14 plus a right parenthesis plus 16
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Part 1
left parenthesis 14 plus a right parenthesis plus 16
equalsenter your response here
(Simplify your answer.)
Using the commutative property of addition, we can rearrange the terms:
(14 + a) + 16
Now using the associative property of addition, we can group the terms differently:
14 + (a + 16)
This simplifies to:
14 + a + 16 = 30 + a
To simplify the expression (14 + a) + 16 using the commutative property, we can rearrange the terms:
(14 + a) + 16 = 14 + (a + 16)
Now, using the associative property, we can simplify the expression further:
14 + (a + 16) = 14 + (16 + a)
Finally, using the commutative property again, we can rearrange the terms:
14 + (16 + a) = (14 + 16) + a
Therefore, the simplified expression is:
(14 + a) + 16 = (14 + 16) + a