1. **State the problem:** Solve the equation $16 - 2t = 5t + 9$ for $t$. 2. **Write down the formula and rules:** To solve for $t$, we need to isolate $t$ on one side of the equation by performing inverse operations and combining like terms. 3. **Step 1: Move all terms involving $t$ to one side and constants to the other side.** $$16 - 2t = 5t + 9$$ Add $2t$ to both sides: $$16 = 5t + 9 + 2t$$ Simplify: $$16 = 7t + 9$$ 4. **Step 2: Move constants to the other side by subtracting 9 from both sides:** $$16 - 9 = 7t + \cancel{9} - 9$$ $$7 = 7t$$ 5. **Step 3: Solve for $t$ 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.