Simplify the expression:
13 - [7 - (4 + 7) - {7 - (7 - 4 + 7)} + 14]

Question

Simplify the expression: 
13 - [7 - (4 + 7) - {7 - (7 - 4 + 7)} + 14]

Accepted Answer

Step-by-step solution:

Given expression: 13 - [7 - (4 + 7) - {7 - (7 - 4 + 7)} + 14]

1. Simplify inside the innermost parentheses:
   (4 + 7) = 11

2. Simplify inside the curly braces:
   Inside curly braces: 7 - (7 - 4 + 7)
   Calculate inside parentheses first:
   (7 - 4 + 7) = 3 + 7 = 10
   So, curly braces become: 7 - 10 = -3

3. Substitute back:
   Expression becomes:
   13 - [7 - 11 - (-3) + 14]

4. Simplify inside the square brackets:
   7 - 11 = -4
   -4 - (-3) = -4 + 3 = -1
   -1 + 14 = 13

5. Now the expression is:
   13 - [13] = 13 - 13 = 0

Final answer is 0.

Answer

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