1. **State the problem:** Solve the equation $3(E-2)+4E=36$ for $E$. 2. **Apply the distributive property:** $$3(E-2)+4E=3E-6+4E$$ 3. **Combine like terms:** $$3E-6+4E=7E-6$$ 4. **Rewrite the equation:** $$7E-6=36$$ 5. **Isolate the term with $E$ by adding 6 to both sides:** $$7E-6+6=36+6$$ $$7E=42$$ 6. **Divide both sides by 7 to solve for $E$:** $$\frac{\cancel{7}E}{\cancel{7}}=\frac{42}{7}$$ $$E=6$$ 7. **Final answer:** $$E=6$$