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

1. Add \( c \) to both sides of the equation to isolate \( a \) on the left side:
   \[
   a - c + c = d - r + c
   \]

2. Simplify the equation:
   \[
   a = d - r + c
   \]

So, the solution is:
\[
a = d - r + c
\]

Would you like further details or have any questions? 

Here are 5 related questions:

1. How would you solve for \( c \) instead of \( a \) in the equation \( a - c = d - r \)?
2. Can you solve the equation \( a - b = c - d \) for \( a \)?
3. How do you interpret the result \( a = d - r + c \) in terms of a word problem?
4. What happens if \( r = 0 \) in the equation?
5. How would you solve \( 2a - c = 3d - 2r \) for \( a \)?

**Tip:** Always remember that you can isolate any variable by performing the same operations on both sides of the equation.

Learn how to solve the linear equation a - c = d - r for the variable a. This solution involves basic algebraic manipulation, suitable for students in Grades 6-8. Explore step-by-step explanations and related questions to deepen your understanding.

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