`(-18) [36 div {7 - (-2)}] div (-4){19 - (-3) xx (-5)} = ? `

Options

A. `- 4.5`
B. 4.5
C. 2.5
D. `-2.5`

Answer

To solve the equation \((-18) [36 \div \{7 - (-2)\}] \div (-4) \{19 - (-3) \times (-5)\} = ?\), we will break it down step by step.

### Step 1: Simplify the expression inside the first bracket
We start with the expression inside the first bracket:
\[ 7 - (-2) \]
This can be simplified as:
\[ 7 + 2 = 9 \]

### Step 2: Substitute back into the equation
Now we substitute this back into the equation:
\[ (-18) [36 \div 9] \div (-4) \{19 - (-3) \times (-5)\} \]

### Step 3: Calculate \(36 \div 9\)
Next, we calculate:
\[ 36 \div 9 = 4 \]

### Step 4: Substitute back into the equation again
Now we substitute this value back into the equation:
\[ (-18) [4] \div (-4) \{19 - (-3) \times (-5)\} \]

### Step 5: Simplify the expression inside the second bracket
Now we need to simplify the expression inside the second bracket:
\[ 19 - (-3) \times (-5) \]
Calculating \((-3) \times (-5)\):
\[ -3 \times -5 = 15 \]
So, we have:
\[ 19 - 15 = 4 \]

### Step 6: Substitute back into the equation
Now we substitute this back into the equation:
\[ (-18) [4] \div (-4) [4] \]

### Step 7: Calculate \((-18) \times 4\)
Now we calculate:
\[ (-18) \times 4 = -72 \]

### Step 8: Calculate \(-72 \div (-4)\)
Next, we divide:
\[ -72 \div (-4) = 18 \]

### Step 9: Final calculation
Now we need to multiply by the last bracket value:
\[ 18 \times 4 = 72 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{72} \]