Let the image of the point P (1,2,3) in the line L: (x-6)/3=(y-1)/2=(z-2)/3 be Q. Let R (α, β, γ) be a point that divides internally the line segment…

Let the image of the point $\displaystyle \mathrm{P}(1,2,3)$ in the line $\displaystyle \mathrm{L}: \frac{x-6}{3}=\frac{y-1}{2}=\frac{z-2}{3}$ be Q. Let $\displaystyle \mathrm{R}(\alpha, \beta, \gamma)$ be a point that divides internally the line segment PQ in the ratio $\displaystyle 1: 3$. Then the value of $\displaystyle 22(\alpha+\beta+\gamma)$ is equal to \_\_\_\_.