To solve the equation \( 17 - w = 97 \), follow these steps:

1. Subtract 17 from both sides of the equation:
   \[
   17 - w - 17 = 97 - 17
   \]
   Simplifying this:
   \[
   -w = 80
   \]

2. Multiply both sides of the equation by -1 to solve for \( w \):
   \[
   w = -80
   \]

Thus, the solution is \( w = -80 \).

Would you like further clarification or more details?

Here are 5 related questions to explore:

1. What would be the result if the equation were \( 17 + w = 97 \)?
2. How would you solve \( 17 - 2w = 97 \)?
3. Can you solve for \( w \) in \( 17 - w = -97 \)?
4. How does the solution change if the equation becomes \( w - 17 = 97 \)?
5. What happens if you multiply both sides of the original equation by 2 before solving?

**Tip:** When solving equations, always aim to isolate the unknown variable by performing inverse operations.

Learn how to solve the linear equation 17 - w = 97 with a detailed step-by-step solution. This problem covers key algebraic concepts, including using inverse operations to isolate variables. Suitable for students in Grades 6-8.

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