Answer: The correct answer is: " 38 " .
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Step-by-step explanation:
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We are given the following expression:
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–32 – (–52) – (15 – 33) ;
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Let us begin by consider the expression given in parentheses:
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" (15 – 33) " ; Note that: " 15 – 33 = - 18 " ;
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Now, let us rewrite the entire given expression—substituting "(-18)" for:
"(15 – 33)" ; as follows:
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" –32 – (–52) – (-18) " ;
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Now, this is an entire expression on its own, i.e. there is no expression contained within this expression. The operations are only subtraction; so we can work from "left to right" in terms of simplifying this expression.
As such: Let us being with:
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" –32 – (–52) " ;
Note that "subtracting a 'negative value' is the same as "adding that particular value's positive counterpart" ;
As such:
" –32 – (–52) =
–32 + (⁺52) =
–32 + 52 =
52 + (-32) = ?
Note that adding a "negative value" is the same as "subtracting that value's positive counterpart" ;
As such: " 52 + (-32) = 52 – 32 = 20 " :
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Now, we can rewrite the expression:
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" 20 – (-18) " ;
Note that subtracting a "negative value" is the same as "adding that value's positive counterpart" :
As such: " 20 – (-18) = 20 + (⁺18) = 20 + 18 = 38 .
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The correct answer is: " 38 " .
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Hope this is helpful to you!
Best wishes in your academic pursuits—
and within the "Brainly" community!
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