To solve the equation \( q - r = r \) for \( r \), follow these steps:

1. Start with the given equation:
   \[
   q - r = r
   \]

2. Add \( r \) to both sides to eliminate \( r \) on the right-hand side:
   \[
   q = 2r
   \]

3. Now, divide both sides of the equation by 2 to solve for \( r \):
   \[
   r = \frac{q}{2}
   \]

Thus, the solution is:
\[
r = \frac{q}{2}
\]

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. What if the equation were \( q + r = r \)? How would the solution change?
2. How would the solution differ if the equation were \( q - 2r = r \)?
3. What happens if we introduce a constant, like \( q - r = r + 1 \)?
4. How does solving for \( r \) change if \( q \) is negative?
5. Can this solution be visualized on a graph? If so, how?

**Tip:** When solving for a variable, aim to isolate it on one side of the equation by using inverse operations (addition, subtraction, etc.).

Learn how to solve the linear equation q - r = r by isolating the variable r. This step-by-step solution is perfect for understanding basic algebraic concepts, such as adding terms to both sides and dividing to isolate the variable. Suitable for students in Grades 6-8.

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