1. **State the problem:** Solve the linear equation $$16 - 2t = 5t + 9$$ for the variable $t$. 2. **Write down the equation:** $$16 - 2t = 5t + 9$$ 3. **Isolate the variable terms on one side:** Add $2t$ to both sides to move all $t$ terms to the right. $$16 - \cancel{2t} + 2t = 5t + 2t + 9$$ which simplifies to $$16 = 7t + 9$$ 4. **Isolate the constant terms on the other side:** Subtract $9$ from both sides. $$16 - 9 = 7t + \cancel{9} - 9$$ which simplifies to $$7 = 7t$$ 5. **Solve for $t$ by dividing both sides by 7:** $$\frac{7}{\cancel{7}} = \frac{7t}{\cancel{7}}$$ which simplifies to $$1 = t$$ 6. **Final answer:** $$t = 1$$