1. **State the problem:** Solve the equation $14t = 14t + 18$ for $t$. 2. **Rewrite the equation:** $$14t = 14t + 18$$ 3. **Subtract $14t$ from both sides to isolate terms:** $$14t - \cancel{14t} = 14t + 18 - \cancel{14t}$$ $$0 = 18$$ 4. **Analyze the result:** The equation simplifies to $0 = 18$, which is a contradiction. 5. **Conclusion:** Since this is never true, there is no solution for $t$. The equation has no solution.