1. **State the problem:** Evaluate the expression $$\frac{45}{b} + a$$ when $$a=5$$ and $$b=32$$, and simplify the expression $$4d + 3d$$. 2. **Substitute the values:** Replace $$a$$ and $$b$$ with their given values: $$\frac{45}{32} + 5$$ 3. **Simplify the fraction and addition:** $$\frac{45}{32} + 5 = \frac{45}{32} + \frac{5 \times 32}{32} = \frac{45}{32} + \frac{160}{32}$$ 4. **Add the fractions:** $$\frac{45 + 160}{32} = \frac{205}{32}$$ 5. **Simplify the expression $$4d + 3d$$:** Combine like terms: $$4d + 3d = (4 + 3)d = 7d$$ **Final answers:** - Evaluated expression: $$\frac{205}{32}$$ - Simplified expression: $$7d$$