Let's analyze the equation \( w + 7 = w + 9 \).

### Step 1: Simplify the equation
Subtract \( w \) from both sides:

\[
7 = 9
\]

### Step 2: Interpret the result
The equation \( 7 = 9 \) is clearly false, meaning there is no value of \( w \) that can make this equation true.

### Conclusion
The equation \( w + 7 = w + 9 \) has **no solution**. This type of equation is called a contradiction.

Would you like more details or have any questions?

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Here are five related questions:
1. How do you solve the equation \( w + 5 = w + 5 \)?
2. What does it mean when an equation has infinitely many solutions?
3. Can you solve \( w + 7 = w + 7 + 2 \)?
4. What is the difference between a contradiction and an identity in equations?
5. How do you solve the equation \( w + 3 = 2w + 5 \)?

**Tip:** Always check if simplifying an equation leads to a true or false statement. If it's false, the equation has no solution; if true, it may have infinite solutions.

Explore how to solve the equation w + 7 = w + 9 with a detailed step-by-step solution. This problem covers the concept of equations and contradictions in mathematics. Suitable for students in Grades 7-9.

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