What is the expression 4 + 8 (3r - 2) - 7r when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work.

Answer 1

To simplify the expression 4 + 8 (3r - 2) - 7r, we have to apply the order of operations and the commutative and distributive properties.

First, we simplify the expression inside the parentheses:

4 + 8 (3r - 2) - 7r
= 4 + 24r - 16 - 7r (distributive property)
= 24r - 7r + 4 - 16 (commutative property)
= (24r - 7r) + (4 - 16) (associative property)
= 17r - 12

Therefore, the simplified expression is 17r - 12.

Answer 2

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