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: $$16 - 2t = 5t + 9$$ - Add $2t$ to both sides to move all $t$ terms to the right: $$16 - \cancel{2t} + 2t = 5t + 2t + 9$$ $$16 = 7t + 9$$ - Subtract $9$ from both sides to isolate the term with $t$: $$16 - 9 = 7t + \cancel{9} - 9$$ $$7 = 7t$$ - Divide both sides by $7$ to solve for $t$: $$\frac{7}{\cancel{7}} = \frac{7t}{\cancel{7}}$$ $$1 = t$$ 4. **Final answer:** $$t = 1$$ This means the value of $t$ that satisfies the equation is $1$.