1. **State the problem:** Simplify the expression $$h\left(\frac{2un}{2un + 5}\right) = 2\left(\frac{2un + 5}{2un + 5}\right) + 3$$. 2. **Understand the expression:** The function $h$ is applied to the fraction $\frac{2un}{2un + 5}$. The right side simplifies the expression inside the parentheses. 3. **Simplify the fraction inside the parentheses:** $$\frac{2un + 5}{2un + 5} = 1$$ 4. **Substitute back:** $$2 \times 1 + 3 = 2 + 3 = 5$$ 5. **Final answer:** $$h\left(\frac{2un}{2un + 5}\right) = 5$$ This means the function $h$ evaluated at $\frac{2un}{2un + 5}$ equals 5.