Let's solve the expression step by step:

Given expression:
\[
4 - (5 - 3) \times 2 + 7 \times 4 - \frac{(2 - 4)}{2}
\]

1. **Solve the expressions within the parentheses:**
   - \( 5 - 3 = 2 \)
   - \( 2 - 4 = -2 \)

Now, the expression becomes:
\[
4 - 2 \times 2 + 7 \times 4 - \frac{-2}{2}
\]

2. **Perform the multiplication and division:**
   - \( 2 \times 2 = 4 \)
   - \( 7 \times 4 = 28 \)
   - \(\frac{-2}{2} = -1\)

Now the expression simplifies to:
\[
4 - 4 + 28 - (-1)
\]

3. **Simplify further by performing the additions and subtractions:**
   - \( 4 - 4 = 0 \)
   - \( 28 - (-1) = 28 + 1 = 29 \)

So, the final expression simplifies to:
\[
0 + 29 = 29
\]

**Final answer:** \( 29 \)

Would you like further details or have any questions? 

Here are five related questions:
1. How does the order of operations affect solving expressions like this?
2. What would happen if we changed the division to multiplication?
3. How do parentheses influence the outcome of mathematical expressions?
4. Can we rearrange the terms of the expression and still get the same result?
5. What are some common mistakes people make when solving expressions with mixed operations?

**Tip:** Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)) when solving mathematical expressions.

Learn how to solve the arithmetic expression 4 – (5-3) * 2 + 7 * 4 – (2-4) / 2 using the order of operations. This problem covers key concepts including multiplication, division, addition, subtraction, and handling parentheses. Suitable for students in Grades 5-7.

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