14. (6 points) A group of PLA soldiers formed a three-layer hollow square formation with 9 soldiers left over. If another layer was added inside the hollow part, 7 soldiers would be short. The total number of soldiers in this group is $\qquad$ people.
【Solution】Solution: Let the number of people on each side of this layer be $A$, from the problem we have:
$$
\begin{aligned}
16 & =(A-4) \times 4 \times 4, \\
16 A & =80, \\
A & =5,
\end{aligned}
$$

Then the number of people in the outermost layer is $5+3 \times 2=11$,
Total number of people: $(11-3) \times 3 \times 4+9$,
$$
\begin{array}{l}
=8 \times 3 \times 4+9, \\
=105 \text { (people), }
\end{array}
$$

Answer: There are a total of 105 soldiers.
The answer is: 105.