1. **State the problem:** Solve the literal equation $17n - 20d = 45w + 13n$ for the variable $d$. 2. **Isolate terms involving $d$:** We want to get $d$ alone on one side. First, subtract $13n$ from both sides: $$17n - 20d - 13n = 45w + 13n - 13n$$ which simplifies to: $$4n - 20d = 45w$$ 3. **Isolate the $d$ term:** Subtract $4n$ from both sides: $$4n - 20d - 4n = 45w - 4n$$ which simplifies to: $$-20d = 45w - 4n$$ 4. **Solve for $d$ by dividing both sides by $-20$:** $$d = \frac{45w - 4n}{-20}$$ 5. **Simplify the fraction by factoring out the negative sign:** $$d = -\frac{45w - 4n}{20} = \frac{-45w + 4n}{20}$$ 6. **Final answer:** $$d = \frac{4n - 45w}{20}$$ This means $d$ is expressed in terms of $n$ and $w$ as $\frac{4n - 45w}{20}$. This completes the solution.