Find the value of the expression:

$$\left[76 - \left\{ \frac{90}{5} imes \left(24 - \frac{36}{3} ight) \div 3 ight\} ight]$$

Question

Find the value of the expression:

$$\left[76 - \left\{ \frac{90}{5} 	imes \left(24 - \frac{36}{3} ight) \div 3 ight\} ight]$$

Accepted Answer

**Solution:**

1. Simplify the innermost parentheses:
   - Calculate $36 \div 3 = 12$
   - Then, $24 - 12 = 12$

2. Substitute back into the expression inside the braces:
   $$90 \div 5 	imes 12 \div 3$$

3. Perform division and multiplication from left to right:
   - $90 \div 5 = 18$
   - $18 	imes 12 = 216$
   - $216 \div 3 = 72$

4. Now substitute into the original expression:
   $$76 - 72 = 4$$

**Answer:** $4$

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