1. **State the problem:** Simplify the expression $ (6d - 3)(3d + 7) $. 2. **Recall the distributive property (FOIL method):** To multiply two binomials, multiply each term in the first binomial by each term in the second binomial. 3. **Apply FOIL:** $$ (6d - 3)(3d + 7) = 6d \times 3d + 6d \times 7 - 3 \times 3d - 3 \times 7 $$ 4. **Calculate each term:** $$ = 18d^2 + 42d - 9d - 21 $$ 5. **Combine like terms:** $$ = 18d^2 + (42d - 9d) - 21 = 18d^2 + 33d - 21 $$ 6. **Final answer:** $$ 18d^2 + 33d - 21 $$ This is the simplified form of the product of the two binomials.