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. into 4 to 5 sentences
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To simplify the expression 4 + 8(3r - 2) - 7r, we start by using the distributive property to multiply 8 with the terms inside the parentheses. This gives us 4 + 24r - 16 - 7r. Next, we combine like terms by combining the constant terms and the terms with r. This gives us -12r - 12. Finally, we can rearrange the expression by using the commutative property, which states that the order of addition or multiplication does not affect the result. Therefore, the simplified expression is -12r - 12.
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