https://file.aiquickdraw.com/mathbot/file/1725659974951z01wo16j.jpg

The image contains the following expression that needs simplification:

\[
3 \left( 2(8 - 2 - 4) + 25 \div 5 \right) - 5 \left( 2(8 \div 4 - 2) \right) - 7 \left( 7 - 2 \cdot 3 \right)
\]

Let's simplify it step by step.

### Step 1: Simplify each bracket
- For the first bracket:
  \[
  2(8 - 2 - 4) = 2(2) = 4
  \]
  \[
  25 \div 5 = 5
  \]
  So, the first bracket becomes:
  \[
  3(4 + 5) = 3(9) = 27
  \]

- For the second bracket:
  \[
  8 \div 4 - 2 = 2 - 2 = 0
  \]
  So, the second bracket becomes:
  \[
  5(2 \cdot 0) = 5(0) = 0
  \]

- For the third bracket:
  \[
  7 - 2 \cdot 3 = 7 - 6 = 1
  \]
  So, the third bracket becomes:
  \[
  7(1) = 7
  \]

### Step 2: Put it all together
Now the expression is:
\[
27 - 0 - 7 = 20
\]

Thus, the simplified answer is \( 20 \), but this option is not listed in the choices. However, based on the simplification, this is the correct value.

Would you like further details or have any questions?

Here are five related questions:
1. Can you explain the order of operations in simplifying expressions like this?
2. How does distributing work in algebraic expressions?
3. What is the distributive property and how is it applied here?
4. How do you handle division and multiplication in more complex expressions?
5. How can negative numbers change the outcome of similar problems?

**Tip:** Always ensure to follow the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) for accurate results.

Simplify the following expression: 3(2(8 - 2 - 4) + 25 ÷ 5) - 5(2(8 ÷ 4 - 2)) - 7(7 - 2 × 3).

Learn how to simplify the expression 3(2(8 - 2 - 4) + 25 ÷ 5) - 5(2(8 ÷ 4 - 2)) - 7(7 - 2 × 3). This step-by-step solution covers key concepts such as the distributive property and order of operations. Suitable for students in Grades 7-9.

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