Answer
$$d = \frac{11p}{5} - 33$$
Work Step by Step
To solve the equation for $d$, we need to isolate $d$.
First, we subtract $15$ from each side:
$$p - 15 = \frac{5d}{11}$$
Next, we multiply both sides by $11$:
$$11(p - 15) = 5d$$
We then simplify this equation to make it easier to work with:
$$11p - 165 = 5d$$
We then divide each side by $5$:
$$d = \frac{11p}{5} - (165 \div 5)$$
Simplifying, we get:
$$d = \frac{11p}{5} - 33$$