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

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

Answer :

Let's simplify the expression [tex]\( (-84 + 17) - |-29 - 18| \)[/tex] step by step.

1. Simplify each part of the expression:
- Start with [tex]\(-84 + 17\)[/tex]:
[tex]\[
-84 + 17 = -67
\][/tex]

2. Calculate the expression inside the absolute value:
- For [tex]\(-29 - 18\)[/tex]:
[tex]\[
-29 - 18 = -47
\][/tex]

3. Find the absolute value:
- The absolute value of [tex]\(-47\)[/tex] is [tex]\(47\)[/tex].

4. Combine the results:
- Now substitute back into the original expression:
[tex]\[
(-84 + 17) - |-29 - 18| = -67 - 47
\][/tex]

5. Final calculation:
- Subtract the absolute value from the first part:
[tex]\[
-67 - 47 = -114
\][/tex]

So, the simplified result is [tex]\(-114\)[/tex]. Therefore, the answer is A. -114.

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