To solve the equation \( w - 17 = -63 \), follow these steps:

1. Add 17 to both sides of the equation to isolate \( w \):
   \[
   w - 17 + 17 = -63 + 17
   \]
   This simplifies to:
   \[
   w = -46
   \]

Thus, \( w = -46 \).

Would you like more details or explanations? Here are some related questions:

1. How do you solve equations with variables on both sides?
2. What are inverse operations in algebra?
3. How do you check if your solution to an equation is correct?
4. What are common mistakes when solving simple linear equations?
5. Can equations have more than one solution?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality.

Explore the step-by-step solution to the linear equation w - 17 = -63. Learn how to isolate the variable using basic arithmetic operations, suitable for students in Grades 6-8. This guide covers key algebraic concepts and the equality property of equations.

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