Sure, let's solve the expression step by step:
The given expression is:
[tex]\[ 72 \times \{-5 + (-2)[9 - 6(75 - 24)]\} \][/tex]
1. Step 1: Solve the innermost parentheses
[tex]\[ 75 - 24 = 51 \][/tex]
2. Step 2: Substitute the result from Step 1 into the expression and solve the multiplication inside the brackets
[tex]\[ 9 - 6 \times 51 \][/tex]
[tex]\[ 6 \times 51 = 306 \][/tex]
3. Step 3: Substitute the result from Step 2 and solve the subtraction inside the brackets
[tex]\[ 9 - 306 = -297 \][/tex]
4. Step 4: Substitute the result from Step 3 into the expression and solve the multiplication inside the curly braces
[tex]\[ -2 \times (-297) = 594 \][/tex]
5. Step 5: Substitute the result from Step 4 and solve the addition inside the curly braces
[tex]\[ -5 + 594 = 589 \][/tex]
6. Step 6: Finally, solve the multiplication outside the curly braces
[tex]\[ 72 \times 589 = 42408 \][/tex]
So, the result of the given expression is:
[tex]\[ \boxed{42408} \][/tex]
