The given equation is:

$F = \frac{9}{5}c + 32$

This is the formula for converting a temperature from Celsius ($c$) to Fahrenheit ($F$). You are looking to solve for $c$. To do this, we'll rearrange the equation to isolate $c$.

Step-by-Step Solution:

1. Start with the given equation:

   $F = \frac{9}{5}c + 32$

2. Subtract 32 from both sides:

   $F - 32 = \frac{9}{5}c$

3. Multiply both sides by $\frac{5}{9}$ to isolate $c$:

   $c = \frac{5}{9} (F - 32)$

Final Equation:

$c = \frac{5}{9} (F - 32)$

This equation allows you to convert a temperature from Fahrenheit back to Celsius.

Would you like further details or have any questions?

Related Questions:

1. How do you convert Celsius to Kelvin?
2. What is the difference between Celsius and Fahrenheit scales?
3. Can you solve for $F$ given a specific value of $c$?
4. How do you graph the relationship between $F$ and $c$?
5. How does the conversion factor $\frac{9}{5}$ relate to the scales?

Tip: Remember that Celsius and Fahrenheit scales intersect at $-40$, meaning $-40^\circ C = -40^\circ F$.