https://file.aiquickdraw.com/mathbot/file/1725686386865x3d2tsqa.jpg

The extracted text from the image is unclear. Let me analyze the image directly and reconstruct the mathematical expression manually.

Here’s the equation I can see:

\[
(-7 + 5) \cdot [( -4 - (-6)) \cdot (28 \div 7 + 7) - 11(3 - 7 + 5 - (-12) - 15)] - 2^3 + \frac{14}{7} \cdot 21 \div 3 = 
\]

Let me now solve this expression step-by-step.The solution to the given mathematical expression is:

\[
(-7 + 5) \cdot [( -4 - (-6)) \cdot (28 \div 7 + 7) - 11(3 - 7 + 5 - (-12) - 15)] - 2^3 + \frac{14}{7} \cdot 21 \div 3 = -82
\]

Would you like me to break down the steps in more detail, or do you have any specific questions?

Here are five follow-up questions that could expand your understanding:

1. How do we handle operations involving parentheses and nested expressions?
2. What is the general order of operations for simplifying expressions like this?
3. How does distributing multiplication over addition and subtraction work?
4. Why is it important to resolve exponents early in the calculation process?
5. Can you explain how dividing and multiplying fractions simplifies?

**Tip**: Always resolve operations inside parentheses first to avoid calculation errors, especially when dealing with nested expressions.

(-7 + 5) ⋅ [(-4 - (-6)) ⋅ (28 ÷ 7 + 7) - 11(3 - 7 + 5 - (-12) - 15)] - 2^3 + 14 ÷ 7 ⋅ 21 ÷ 3 =

Learn how to solve a complex arithmetic expression involving nested parentheses, exponents, and multiple operations. This example covers essential concepts of order of operations (PEMDAS) and arithmetic operations. Suitable for students in Grades 6-8.

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