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