1. **State the problem:** Simplify the expression $$(8t - 5t^2) + 12(7t + 3)$$ and find the coefficient of $t$. 2. **Apply the distributive property:** Multiply 12 by each term inside the parentheses: $$12(7t + 3) = 12 \times 7t + 12 \times 3 = 84t + 36$$ 3. **Rewrite the expression:** $$(8t - 5t^2) + 84t + 36$$ 4. **Combine like terms:** The terms with $t$ are $8t$ and $84t$: $$8t + 84t = 92t$$ 5. **Final simplified expression:** $$-5t^2 + 92t + 36$$ 6. **Answer:** The number multiplied by $t$ is **92**.