A water tank has \(297\) gallons of water in it, and it is being drained at the rate of \(19\) gallons per minute. After how many minutes will there be \(31\) gallons of water left?

Assume the tank will have \(31\) gallons of water after \(m\) minutes. We can solve this problem using the equation:

\(\displaystyle{297-19 m=31}\text{.}\)

Check whether \(14\) is a solution for \(m\) of this equation.