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Evaluate the following expression:

[tex]\[ 0 - \left\{24 \div 4 + \left[52 + (2 \times 32) - 7 \times 4 + 14\right]\right\} \][/tex]

Sagot :

GinnyAnswer
Let's solve the expression step-by-step to make things clear.

We start by looking for expressions within parentheses and innermost parentheses first:

1. Calculate the innermost multiplication:
[tex]\[ 2 \times 32 = 64 \][/tex]

2. Add the result to 52:
[tex]\[ 52 + 64 = 116 \][/tex]

3. Subtract [tex]\(7 \times 4\)[/tex]:
[tex]\[ 116 - 28 = 88 \][/tex]

4. Add 14:
[tex]\[ 88 + 14 = 102 \][/tex]

Now, moving outward to the outer parentheses:

5. Divide 24 by 4:
[tex]\[ 24 \div 4 = 6 \][/tex]

6. Add this result (6) to the previous inner result (102):
[tex]\[ 6 + 102 = 108 \][/tex]

Finally, the outermost operation:

7. Subtract 108 from 12:
[tex]\[ 12 - 108 = -96 \][/tex]

So, the final result is:
[tex]\[ \boxed{-96} \][/tex]
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