To solve the equation \( \frac{M}{a} = n - p \) for \( a \):

1. Start by multiplying both sides of the equation by \( a \) to eliminate the denominator:

\[
M = a(n - p)
\]

2. Now, divide both sides by \( (n - p) \) to isolate \( a \):

\[
a = \frac{M}{n - p}
\]

Thus, the solution for \( a \) is:

\[
a = \frac{M}{n - p}
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. What happens if \( n = p \) in this equation?
2. How would you solve \( \frac{M}{a} = np \) for \( a \)?
3. What is the value of \( a \) if \( M = 10 \), \( n = 5 \), and \( p = 3 \)?
4. Can you express \( M \) in terms of \( a \), \( n \), and \( p \)?
5. How does the equation change if \( a \) is negative?

**Tip:** When solving for a variable, isolating it step by step helps to avoid mistakes and keeps the solution process clear.

Discover how to solve the equation M/a = n - p for the variable 'a' with a step-by-step guide. This problem introduces algebraic concepts and the process of isolating a variable. Ideal for students in Grades 6-8.

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