Let's simplify the expression step by step:

The given expression is:

$10 \div 2 + 5 \times 3 + 4 - 5 \times 2 - 8 + 4 \times 2 - 20 \div 4$

Step 1: Follow the order of operations (PEMDAS/BODMAS).

• Parentheses (none here)
• Exponents (none here)
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Step 2: Perform multiplication and division first:

$10 \div 2 = 5$ $5 \times 3 = 15$ $5 \times 2 = 10$ $4 \times 2 = 8$ $20 \div 4 = 5$

Now substitute the results into the expression:

$5 + 15 + 4 - 10 - 8 + 8 - 5$

Step 3: Perform addition and subtraction from left to right:

$5 + 15 = 20$ $20 + 4 = 24$ $24 - 10 = 14$ $14 - 8 = 6$ $6 + 8 = 14$ $14 - 5 = 9$

Final Answer:

$\boxed{9}$

Would you like a more detailed explanation of any step, or do you have any other questions?

Here are 5 related questions:

1. What is the difference between the order of operations (PEMDAS) and BODMAS?
2. How does multiplication and division differ when the operations are combined with addition and subtraction?
3. Can parentheses change the outcome of an expression like this? How?
4. How do you solve expressions with exponents using PEMDAS?
5. What happens if you multiply a fraction in such an expression?

Tip: Always perform multiplication and division first, even when they appear later in the expression than addition and subtraction.