Let's break down the given expression step by step:

\[
24 - 4 - 6(-2) + \frac{10}{5} - \frac{12}{4}
\]

1. **Perform the multiplication**:  
   \(6(-2) = -12\).

   Now the expression becomes:
   \[
   24 - 4 - (-12) + \frac{10}{5} - \frac{12}{4}
   \]

2. **Simplify the division**:
   - \(\frac{10}{5} = 2\)
   - \(\frac{12}{4} = 3\)

   Now the expression becomes:
   \[
   24 - 4 - (-12) + 2 - 3
   \]

3. **Resolve the double negative**:  
   \(-(-12)\) becomes \(+12\).

   Now the expression becomes:
   \[
   24 - 4 + 12 + 2 - 3
   \]

4. **Perform the addition and subtraction** step by step:
   - \(24 - 4 = 20\)
   - \(20 + 12 = 32\)
   - \(32 + 2 = 34\)
   - \(34 - 3 = 31\)

Thus, the value of the expression is \( \boxed{31} \).

Would you like a detailed explanation of any step? Here are some related questions you might consider:

1. How does the order of operations (PEMDAS) influence calculations?
2. How do you handle negative numbers in arithmetic expressions?
3. What are some common mistakes when solving arithmetic expressions with multiple operations?
4. How do you simplify fractions in expressions like this?
5. What are the rules for multiplying and dividing negative numbers?

**Tip**: Always resolve operations inside parentheses and handle multiplication or division before addition or subtraction in complex expressions.

Learn how to solve the arithmetic expression 24 - 4 - 6(-2) + 10/5 - 12/4 with a detailed step-by-step breakdown. This problem involves understanding order of operations (PEMDAS), fractions, and handling negative numbers, making it suitable for students in Grades 5-7.

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