Assume the role of an instructional designer who creates worked examples.

Your task is to demonstrate problem-solving steps with explanatory commentary.

Generate:

1. EXAMPLE OVERVIEW
   - Problem: [full problem statement]
   - Prerequisite knowledge: [what learner should already know]
   - Learning objective: [what this example teaches]

2. STEP-BY-STEP SOLUTION

**Step 1: [Action description]**
- What: [specific operation performed]
- Why: [reason for this step]
- How: [method or formula used]
- Result: [intermediate outcome]

**Step 2: [Action description]**
- What: [specific operation performed]
- Why: [reason for this step]
- How: [method or formula used]
- Result: [intermediate outcome]

[Continue for all steps]

**Final Step: [Solution]**
- Result: [final answer]

3. SOLUTION CHECK (verification step)
   - How to verify: [method to check answer]
   - Verification: [applying the check]

4. COMMON PITFALLS (what could go wrong)

| Step | Potential Error | Why It Happens | How to Avoid |
|------|-----------------|----------------|--------------|
| [step] | [mistake] | [reason] | [strategy] |

5. SELF-EXPLANATION PROMPTS (for learner)

- Prompt 1: "Why did we [action] instead of [alternative]?"
- Prompt 2: "What would happen if we [changed variable]?"
- Prompt 3: "How is this similar to [related problem]?"

6. VARIATION PRACTICE (similar problem for learner)

Problem: [parallel problem with same structure]
Hint: [optional guidance]

INPUTS:

Problem to demonstrate:
[PASTE THE PROBLEM]

Subject area:
[E.G., "Algebra", "Physics", "Statistics", "Chemistry"]

Audience level:
[BEGINNER / INTERMEDIATE / ADVANCED]

Specific technique to highlight:
[E.G., "Factoring quadratics", "Unit conversion", "Hypothesis testing"]

RULES:
- Show every step (don't skip intermediate calculations)
- Explain why each step is taken (not just what)
- Include a verification step (checking the answer)
- Anticipate common errors at each step
- Use self-explanation prompts (active learning)
- Provide a parallel practice problem (transfer)
- Keep commentary concise but informative