1. **State the problem:** Solve the equation $4R - 3 = 3(3R + 4)$ for $R$. 2. **Write the formula and rules:** We will use the distributive property to expand the right side and then isolate $R$ by combining like terms and using inverse operations. 3. **Expand the right side:** $$4R - 3 = 3 \times 3R + 3 \times 4$$ $$4R - 3 = 9R + 12$$ 4. **Bring all terms involving $R$ to one side and constants to the other:** $$4R - 9R = 12 + 3$$ 5. **Simplify both sides:** $$\cancel{4}R - \cancel{9}R = 15$$ $$-5R = 15$$ 6. **Divide both sides by $-5$ to solve for $R$:** $$R = \frac{15}{-5}$$ $$R = -3$$ **Final answer:** $$R = -3$$