1. **State the problem:** Solve the equation $$16 - 2t = 5t + 9$$ for the variable $t$. 2. **Write down the formula and rules:** To solve for $t$, we need to isolate $t$ on one side of the equation. We can do this by moving all terms involving $t$ to one side and constants to the other. 3. **Move terms involving $t$ to one side:** $$16 - 2t = 5t + 9$$ Add $2t$ to both sides: $$16 = 5t + 9 + 2t$$ Simplify the right side: $$16 = 7t + 9$$ 4. **Move constants to the other side:** Subtract $9$ from both sides: $$16 - 9 = 7t + \cancel{9} - 9$$ $$7 = 7t$$ 5. **Isolate $t$ by dividing both sides by 7:** $$\frac{7}{\cancel{7}} = \frac{7t}{\cancel{7}}$$ $$1 = t$$ 6. **Final answer:** $$t = 1$$ This means the value of $t$ that satisfies the equation is 1.