1. **State the problem:** Solve the linear equation $16 - 2t = 5t + 9$ for $t$. 2. **Write 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-by-step solution:** Start with the equation: $$16 - 2t = 5t + 9$$ Move all terms involving $t$ to one side and constants to the other: $$16 - 2t - 5t = 9$$ $$16 - 7t = 9$$ Subtract 16 from both sides: $$16 - 7t - 16 = 9 - 16$$ $$-7t = -7$$ Divide both sides by $-7$: $$t = \frac{-7}{-7}$$ Show cancellation: $$t = \frac{\cancel{-7}}{\cancel{-7}} = 1$$ 4. **Final answer:** $$\boxed{t = 1}$$ This means the value of $t$ that satisfies the equation is 1.