To solve the equation \( D = \frac{c - s}{n} \) for \( s \), follow these steps:

1. Start with the equation:
   \[
   D = \frac{c - s}{n}
   \]

2. Multiply both sides of the equation by \( n \) to eliminate the denominator:
   \[
   Dn = c - s
   \]

3. Now, solve for \( s \) by subtracting \( c \) from both sides:
   \[
   Dn - c = -s
   \]

4. Finally, multiply both sides by \( -1 \) to solve for \( s \):
   \[
   s = c - Dn
   \]

Thus, the solution for \( s \) is:
\[
s = c - Dn
\]

Would you like a detailed explanation or have any further questions?

### Related Questions:
1. What happens when \( n = 0 \) in the original equation?
2. How do we handle the equation if \( c \) or \( D \) is negative?
3. What is the geometric interpretation of solving for \( s \) in this equation?
4. Can we rearrange this equation to express \( n \) instead of \( s \)?
5. How does the equation change if it is given in a different form, such as \( D = \frac{s - c}{n} \)?

### Tip:
Always verify your algebraic steps when manipulating equations to avoid errors, especially when multiplying or dividing by negative numbers.

Learn how to solve the equation D = (c - s) / n for s with a step-by-step solution. This problem covers key algebraic concepts, including manipulating linear equations and solving for a specific variable. Suitable for students in Grades 9-10.

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