The problem asks for the value of:

$\frac{5^2(8 - 6) + 20}{2}$

Let's solve it step by step.

Step 1: Simplify inside the parentheses $(8 - 6)$

$8 - 6 = 2$

Now the expression becomes: $\frac{5^2(2) + 20}{2}$

Step 2: Calculate $5^2$

$5^2 = 25$

Substituting: $\frac{25(2) + 20}{2}$

Step 3: Multiply $25 \times 2$

$25 \times 2 = 50$

Substituting: $\frac{50 + 20}{2}$

Step 4: Add $50 + 20$

$50 + 20 = 70$

Now the expression is: $\frac{70}{2}$

Step 5: Divide $70 \div 2$

$70 \div 2 = 35$

Final Answer:

$\boxed{35}$

Would you like a deeper explanation or have any questions? Here are 5 follow-up questions to deepen your understanding:

1. What is the general rule for the order of operations (PEMDAS)?
2. How do exponents influence the calculation in an expression?
3. Why is it important to simplify expressions inside parentheses first?
4. How does dividing affect the final value in this calculation?
5. What are some tips for avoiding mistakes in multi-step calculations?

Tip: Always follow the order of operations step by step to avoid confusion in complex problems!