Let $f$ and $g$ be functions that satisfy $f'(2) = -8$ and $g'(2) = 5$. Find $h'(2)$ for each function $h$ given below:

(a) $h(x) = 4 f(x)$.

$h'(2)$ =

(b) $h(x) = -5 g(x)$.

$h'(2)$ =

(c) $h(x) = 12 f(x) + 9 g(x)$.

$h'(2)$ =

(d) $h(x) = 4 g(x) - 11 f(x)$.

$h'(2)$ =

(e) $h(x) = 6 f(x) + 9 g(x) + 8$.

$h'(2)$ =

(f) $h(x) = -8 g(x) - 11 f(x) + 2 x$.

$h'(2)$ =