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

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

Answer :

Sure! Let's simplify the expression step by step.

We have:

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

1. Calculate inside the absolute value:

First, simplify [tex]\(-29 - 18\)[/tex]:

[tex]\[
-29 - 18 = -47
\][/tex]

2. Calculate the absolute value:

The absolute value of [tex]\(-47\)[/tex] is:

[tex]\[
|-47| = 47
\][/tex]

3. Simplify the expression:

Now we substitute back into the expression:

[tex]\[
(-84 + 17) - 47
\][/tex]

First, simplify [tex]\(-84 + 17\)[/tex]:

[tex]\[
-84 + 17 = -67
\][/tex]

4. Complete the calculation:

Now, substitute the result into the expression:

[tex]\[
-67 - 47 = -114
\][/tex]

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

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