The equation provided in the image is:

$s = \frac{2d}{t}$

We are asked to solve for $d$.

To do that, let's isolate $d$ step by step:

1. Multiply both sides of the equation by $t$ to get rid of the denominator: $s \cdot t = 2d$

2. Now, divide both sides by 2 to solve for $d$: $d = \frac{s \cdot t}{2}$

Thus, the solution is:

$d = \frac{s \cdot t}{2}$

Would you like more details on any step or additional questions?

Here are five related questions:

1. If $s = 5$ and $t = 4$, what is the value of $d$?
2. How would the equation change if the expression was $s = \frac{3d}{t}$?
3. Can you solve for $t$ in terms of $s$ and $d$?
4. What is the physical interpretation of $s$, $t$, and $d$ if this represents a motion equation?
5. How does changing $t$ affect the value of $d$ if $s$ is constant?

Tip: When solving for a variable, remember to always perform inverse operations to isolate the variable step by step.