Answer :
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]
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]
