To solve for \( A \) in the equation:

\[
5q = \frac{f}{A} + G
\]

1. First, subtract \( G \) from both sides to isolate the term with \( A \):

\[
5q - G = \frac{f}{A}
\]

2. Now, multiply both sides by \( A \) to get rid of the denominator:

\[
A(5q - G) = f
\]

3. Finally, divide both sides by \( (5q - G) \) to solve for \( A \):

\[
A = \frac{f}{5q - G}
\]

So, \( A \) equals:

\[
A = \frac{f}{5q - G}
\]

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How do we manipulate equations with fractions to isolate variables?
2. What happens if \( 5q - G = 0 \)? 
3. How can this equation be applied in a real-world scenario?
4. What would the solution look like if we were solving for \( f \) instead?
5. How does solving for \( A \) change if we include exponents in the original equation?

**Tip:** Always check if the denominator is non-zero when solving equations involving fractions.

Discover how to solve for A in the equation 5q = f/A + G using algebraic manipulation techniques. This solution involves isolating variables and working with fractions, making it suitable for students in Grades 9-12.

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