https://file.aiquickdraw.com/mathbot/file/17342209853293izht0ha.jpg

Let's solve the given mathematical expression:

The expression is:

\[
\frac{12 - 10[(7 - 13) \div 2 - 2]}{2}
\]

---

### **Step 1: Simplify inside the parentheses**
Start with \( 7 - 13 \):
\[
7 - 13 = -6
\]

---

### **Step 2: Division inside the brackets**
\[
-6 \div 2 = -3
\]

---

### **Step 3: Subtract 2 from the result**
\[
-3 - 2 = -5
\]

Now, the expression inside the brackets becomes \( -5 \).

---

### **Step 4: Multiply by 10**
The updated expression is:
\[
12 - 10(-5)
\]

\[
10 \times (-5) = -50
\]

---

### **Step 5: Simplify the numerator**
\[
12 - (-50) = 12 + 50 = 62
\]

---

### **Step 6: Divide the result by 2**
\[
\frac{62}{2} = 31
\]

---

### **Final Answer:**
The value of the expression is:

\[
\boxed{31}
\]

---

Would you like further clarification on any step or additional examples?

### **Related Questions:**
1. How do you simplify expressions with nested parentheses and brackets?
2. What is the order of operations (PEMDAS/BODMAS)?
3. How do you handle negative numbers in arithmetic operations?
4. What happens when multiplying a negative number by a positive one?
5. Can you solve more complex expressions with fractions and exponents?

**Tip:** Always work step-by-step in order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Solve the expression: (12 - 10[(7 - 13) ÷ 2 - 2]) ÷ 2

Learn how to simplify the expression (12 - 10[(7 - 13) ÷ 2 - 2]) ÷ 2 using step-by-step arithmetic. This problem covers the order of operations (PEMDAS), dealing with negative numbers, and simplifying brackets and parentheses. Suitable for Grades 6-8 students.

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