1. **State the problem:** Solve the equation $16 - 2t = 5t + 9$ for $t$. 2. **Write down the equation:** $$16 - 2t = 5t + 9$$ 3. **Goal:** Isolate the variable $t$ on one side of the equation. 4. **Step 1:** Move all terms involving $t$ to one side by adding $2t$ to both sides: $$16 = 5t + 9 + 2t$$ which simplifies to $$16 = 7t + 9$$ 5. **Step 2:** Move constant terms to the other side by subtracting $9$ from both sides: $$16 - 9 = 7t$$ which simplifies to $$7 = 7t$$ 6. **Step 3:** Solve for $t$ by dividing both sides by $7$: $$t = \frac{7}{7} = 1$$ 7. **Final answer:** $$t = 1$$ This means the value of $t$ that satisfies the equation is $1$.