Answer
$$-32t$$
Work Step by Step
Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find:
$$ \frac{16-8t}{3}\times \frac{12t}{t-2}\\ \frac{32t\left(-t+2\right)}{\left(t-2\right)}\\ -32t$$