1. **State the problem:** Solve the inequality $9x - 7we > 3(3x - 7u)$. 2. **Apply the distributive property:** Expand the right side: $$3(3x - 7u) = 9x - 21u$$ 3. **Rewrite the inequality:** $$9x - 7we > 9x - 21u$$ 4. **Subtract $9x$ from both sides:** $$9x - 7we - 9x > 9x - 21u - 9x$$ which simplifies to $$-7we > -21u$$ 5. **Divide both sides by $-7$:** Remember, dividing by a negative number reverses the inequality sign. $$we < 3u$$ 6. **Final answer:** The solution to the inequality is $$we < 3u$$