1. The problem is to solve the ideal gas law equation $$PV = nRT$$ for the temperature $$T$$. 2. The formula given is $$PV = nRT$$, where $$P$$ is pressure, $$V$$ is volume, $$n$$ is the number of moles, $$R$$ is the ideal gas constant, and $$T$$ is the temperature. 3. To isolate $$T$$, divide both sides of the equation by $$nR$$: $$T = \frac{PV}{nR}$$ 4. Show the cancellation step: $$T = \frac{PV}{\cancel{nR}} \times \frac{\cancel{1}}{1} = \frac{PV}{nR}$$ 5. This means temperature $$T$$ is equal to the product of pressure and volume divided by the product of moles and the gas constant. 6. This formula allows you to calculate the temperature if you know the other variables. Final answer: $$T = \frac{PV}{nR}$$