To solve the equation \( \frac{k}{a} = vw + b \) for \( a \), follow these steps:

1. Start with the equation:
   \[
   \frac{k}{a} = vw + b
   \]

2. Multiply both sides of the equation by \( a \) to eliminate the denominator:
   \[
   k = a(vw + b)
   \]

3. Divide both sides by \( vw + b \) to isolate \( a \):
   \[
   a = \frac{k}{vw + b}
   \]

Thus, the solution for \( a \) is:
\[
a = \frac{k}{vw + b}
\]

Would you like more details on this, or do you have any questions?

Here are 5 related questions:
1. How can we simplify if \( b = 0 \)?
2. What happens to the equation when \( vw + b = 0 \)?
3. How does this solution change if \( k = 0 \)?
4. Can you solve for \( b \) in the original equation?
5. How would the equation change if \( k/a \) were squared?

**Tip**: When solving for a variable, always aim to isolate it step by step using inverse operations.

Learn how to solve the equation k/a = vw + b for the variable a. This algebraic problem involves basic equation manipulation, isolating variables, and understanding how to work with fractions and inverse operations. Ideal for students in Grades 8-10.

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