1. **State the problem:** Solve the equation $16-2t=5t+9$. 2. **Use the goal of isolating $t$:** Put all $t$ terms on one side and constants on the other. 3. **Subtract $9$ from both sides:** $$16-2t-9=5t+9-9$$ $$7-2t=5t$$ 4. **Add $2t$ to both sides:** $$7-2t+2t=5t+2t$$ $$7=7t$$ 5. **Divide both sides by $7$:** $$\frac{7}{7}=\frac{7t}{7}$$ $$1=t$$ 6. **Final answer:** $t=1$.