1. **Problem:** Solve the equation $16 - 2t = 5t + 9$. 2. **Formula / goal:** Use inverse operations to get all $t$ terms on one side and numbers on the other. 3. **Subtract $9$ from both sides:** $16 - 2t - 9 = 5t + 9 - 9$. 4. **Simplify:** $7 - 2t = 5t$. 5. **Add $2t$ to both sides:** $7 - 2t + 2t = 5t + 2t$. 6. **Show the cancellation:** $7 - \cancel{2t} + \cancel{2t} = 5t + 2t$. 7. **Simplify:** $7 = 7t$. 8. **Divide both sides by $7$:** $\frac{7}{7} = \frac{7t}{7}$. 9. **Show the cancellation:** $\frac{\cancel{7}}{\cancel{7}} = \frac{7t}{7}$. 10. **Final answer:** $t = 1$.