1. **State the problem:** Solve the equation $\frac{w}{p} = \frac{2a}{b} - c$ for $b$. 2. **Isolate the term with $b$:** Add $c$ to both sides to get $$\frac{w}{p} + c = \frac{2a}{b}$$ 3. **Rewrite the equation:** We have $$\frac{2a}{b} = \frac{w}{p} + c$$ 4. **Solve for $b$:** Take the reciprocal of both sides and multiply by $2a$: $$b = \frac{2a}{\frac{w}{p} + c}$$ 5. **Simplify the denominator:** Write the denominator as a single fraction: $$\frac{w}{p} + c = \frac{w}{p} + \frac{cp}{p} = \frac{w + cp}{p}$$ 6. **Substitute back:** $$b = \frac{2a}{\frac{w + cp}{p}}$$ 7. **Divide by a fraction:** Dividing by $\frac{w + cp}{p}$ is the same as multiplying by its reciprocal: $$b = 2a \times \frac{p}{w + cp}$$ 8. **Final answer:** $$b = \frac{2ap}{w + cp}$$ This is the expression for $b$ in terms of $a$, $c$, $p$, and $w$.