Let
\( \lim_{x \to 2} \frac{\tan(x - 2)\,[r x^2 + (p - 2)x - 2p]}{(x - 2)^2} = 5 \)
for some \( r, p \in \mathbb{R} \).
If the set of all possible values of \( q \), such that the roots of the equation
\( r x^2 - p x + q = 0 \) lie in \( (0, 2) \),
be the interval \( (\alpha, \beta] \),
then \( 4(\alpha + \beta) \) is equal to: