High School

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Simplify: [tex](-84+17)-|-29-18|[/tex]

A. -114
B. -20
C. 20
D. 114

Answer :

To simplify the expression [tex]\((-84 + 17) - |-29 - 18|\)[/tex], we will go through it step-by-step:

1. Calculate the expression inside the absolute value:
[tex]\[
-29 - 18 = -47
\][/tex]

2. Find the absolute value:
[tex]\[
|-47| = 47
\][/tex]

3. Simplify the expression:
[tex]\[
-84 + 17 = -67
\][/tex]

4. Combine the results:
[tex]\[
-67 - 47 = -114
\][/tex]

So, the simplified expression is [tex]\(-114\)[/tex].

The correct answer is A. -114.

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