What is the correct value from the options? 13 − [7 − (4 + 7) − {7 − (7 − 4 + 7)} + 14]
0
Solution for the Expression
Given Expression:
13 − [7 − (4 + 7) − {7 − (7 − 4 + 7)} + 14]
Step-by-Step Simplification
Step 1: Simplify the innermost parentheses:
\( (4 + 7) = 11 \)
The expression becomes:
13 − [7 − 11 − {7 − (7 − 4 + 7)} + 14]
Step 2: Simplify inside the next parentheses:
\( (7 − 4 + 7) = 10 \)
The expression becomes:
13 − [7 − 11 − {7 − 10} + 14]
Step 3: Simplify inside the curly braces:
\( {7 − 10} = -3 \)
The expression becomes:
13 − [7 − 11 − (-3) + 14]
Step 4: Simplify inside the square brackets:
- \( 7 − 11 = -4 \)
- \( -4 − (-3) = -4 + 3 = -1 \)
- \( -1 + 14 = 13 \)
The expression becomes:
\( 13 − 13 \)
Final Answer
The result of the expression is: 0
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