Apply the problem-solving strategy to find a number when "the sum of four times a number and two is fourteen". Let $n$ be the number. "Four times a number" translates to $4n$. The "sum" of this and $2$ is $4n + 2$. "Is fourteen" translates to $= 14$. This gives the equation $4n + 2 = 14$. To solve, subtract $2$ from both sides to get $4n = 12$. Then divide by $4$ to find $n = 3$. Checking the answer: four times $3$ is $12$, plus $2$ is $14$. Thus, the number is $3$.