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The original question contains numerous formatting and calculation errors. Let's rewrite it correctly and clearly:

Evaluate the expression:

[tex]\[
(-12) \{ 45 + 6(-12) - [(-3 \times 6 + 9) \times (24 - (-5) \times (-4))] \}
\][/tex]

Step-by-step solution:

1. Calculate the innermost expressions:
[tex]\[
(-3 \times 6 + 9) = -18 + 9 = -9
\][/tex]
[tex]\[
(-5) \times (-4) = 20
\][/tex]
[tex]\[
24 - 20 = 4
\][/tex]

2. Substitute back into the expression:
[tex]\[
(-12) \{ 45 + 6(-12) - [-9 \times 4] \}
\][/tex]

3. Simplify the multiplication:
[tex]\[
6(-12) = -72
\][/tex]
[tex]\[
-9 \times 4 = -36
\][/tex]

4. Substitute and simplify further:
[tex]\[
(-12) \{ 45 - 72 + 36 \}
\][/tex]

5. Simplify the addition/subtraction:
[tex]\[
45 - 72 = -27
\][/tex]
[tex]\[
-27 + 36 = 9
\][/tex]

6. Final multiplication:
[tex]\[
(-12) \times 9 = -108
\][/tex]

Thus, the correct and clearly formatted expression and solution is:

[tex]\[
(-12) \{ 45 + 6(-12) - [(-3 \times 6 + 9) \times (24 - (-5) \times (-4))] \} = -108
\][/tex]

Sagot :

GinnyAnsweridn
Let's solve the given expression step-by-step.

Given mathematical expression is:

[tex]\[ (-12) \left\{ 45 + 6(-12) - \left[ -3 \times (6 + 9) \right] \times \left[ 24 - (-5) \times (-4) \right] \right\} \][/tex]

### Step 1: Calculate the innermost expression

Firstly, calculate the product inside the innermost brackets:

[tex]\[ (-5) \times (-4) = 20 \][/tex]

### Step 2: Evaluate the expression inside the square brackets

Now substitute [tex]\( 20 \)[/tex] back into the square brackets:

[tex]\[ 24 - 20 = 4 \][/tex]

This simplifies the expression inside the square brackets to [tex]\( 4 \)[/tex].

### Step 3: Calculate the next set of multiplication inside the curly braces

Calculate the product with [tex]\( 9 \)[/tex] inside the expression:

[tex]\[ 9 \times 4 = 36 \][/tex]

### Step 4: Simplify the rest of the expression inside the curly braces

Substitute [tex]\( 36 \)[/tex] back into the curly braces:

[tex]\[ 45 + 6(-12) - (-3) \times (6 + 9) - 36 \][/tex]

First, simplify inside the parentheses:

[tex]\[ 6 + 9 = 15 \][/tex]

Then, calculate the products:

[tex]\[ 6 \times (-12) = -72 \][/tex]

[tex]\[ -3 \times 15 = -45 \][/tex]

Now substitute these values back:

[tex]\[ 45 + (-72) - (-45) - 36 \][/tex]

Simplify the additions and subtractions inside the curly braces:

[tex]\[ 45 + (-72) = -27 \][/tex]

[tex]\[ -27 - 36 = -63 \][/tex]

[tex]\[ -63 + 45 = -18 \][/tex]

### Step 5: Multiply the result by -12

Finally, multiply the result inside the curly braces by [tex]\( -12 \)[/tex]:

[tex]\[ -12 \times -45 = 540 \][/tex]

So, the final value of the given mathematical expression is:

[tex]\[ 540 \][/tex]

Thus, the result is [tex]\( 540 \)[/tex].
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