1. **State the problem:** Solve for $c$ in the equation $7c = 4c - 13 + c + 36$. 2. **Combine like terms on the right side:** $$4c + c = 5c$$ So the equation becomes: $$7c = 5c - 13 + 36$$ 3. **Simplify constants on the right side:** $$-13 + 36 = 23$$ So: $$7c = 5c + 23$$ 4. **Subtract $5c$ from both sides to isolate $c$ terms on one side:** $$7c - 5c = 5c + 23 - 5c$$ $$\cancel{7c} - \cancel{5c} = \cancel{5c} + 23 - \cancel{5c}$$ $$2c = 23$$ 5. **Divide both sides by 2 to solve for $c$:** $$c = \frac{23}{2}$$ 6. **Final answer:** $$c = 11.5$$