1. **State the problem:** Simplify the fraction $$\frac{2d - 18}{6d - 54}$$. 2. **Factor both numerator and denominator:** - Numerator: $$2d - 18 = 2(d - 9)$$ - Denominator: $$6d - 54 = 6(d - 9)$$ 3. **Rewrite the fraction with factored terms:** $$\frac{2(d - 9)}{6(d - 9)}$$ 4. **Cancel the common factor $d - 9$ (assuming $d \neq 9$ to avoid division by zero):** $$\frac{2\cancel{(d - 9)}}{6\cancel{(d - 9)}}$$ 5. **Simplify the remaining fraction:** $$\frac{2}{6} = \frac{\cancel{2}^1}{\cancel{6}^3} = \frac{1}{3}$$ 6. **Final simplified form:** $$\frac{1}{3}$$ **Answer:** The simplified form of $$\frac{2d - 18}{6d - 54}$$ is $$\frac{1}{3}$$, for $$d \neq 9$$.