Find the value of the expression:

$$30 - \left[40 - \left\{56 - (25 - 13 - 12)\right\}\right]$$

Question

Find the value of the expression:

$$30 - \left[40 - \left\{56 - (25 - 13 - 12)\right\}\right]$$

Accepted Answer

**Solution:**

1. Simplify the innermost parentheses:
   $$25 - 13 - 12 = (25 - 13) - 12 = 12 - 12 = 0$$

2. Substitute this result into the curly brackets:
   $$56 - 0 = 56$$

3. Substitute the result into the square brackets:
   $$40 - 56 = -16$$

4. Finally, substitute into the main expression:
   $$30 - (-16) = 30 + 16 = 46$$

**Answer:** 46

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