https://file.aiquickdraw.com/mathbot/file/1727407841234777mpx5y.jpg

The equation in the image is:

\[
(4 - 7)^2 - 6 \cdot 7 + 20
\]

Let's solve it step-by-step:

1. **Evaluate the expression inside the parentheses**:
   \[
   4 - 7 = -3
   \]

2. **Square the result**:
   \[
   (-3)^2 = 9
   \]

3. **Multiply** \( 6 \cdot 7 \):
   \[
   6 \cdot 7 = 42
   \]

4. **Substitute back into the equation**:
   \[
   9 - 42 + 20
   \]

5. **Simplify**:
   \[
   9 - 42 = -33
   \]
   \[
   -33 + 20 = -13
   \]

The final result is:

\[
\boxed{-13}
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the difference between an expression and an equation?
2. How does squaring a negative number affect the result?
3. Can parentheses change the order of operations in an expression?
4. What is the result if you change \(6 \cdot 7\) to \(7 \cdot 6\)? Does the order matter?
5. How can you apply the order of operations (PEMDAS) to more complex expressions?

**Tip**: Always perform operations inside parentheses first when following the order of operations (PEMDAS).

Learn how to solve the expression (4 - 7)^2 - 6 * 7 + 20 step-by-step. This problem involves key concepts such as exponents, multiplication, and the order of operations (PEMDAS). Suitable for students in Grades 6-8.

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