Question: Solve for $t$.
$-t = 9(t-10)$
1. **State the problem:** Solve the equation $$-t = 9(t-10)$$ for $t$.
2. **Distribute the 9 on the right side:**
$$-t = 9t - 90$$
3. **Add $t$ to both sides to get all $t$ terms on one side:**
$$-t + t = 9t - 90 + t$$
$$0 = 10t - 90$$
4. **Add 90 to both sides:**
$$90 = 10t$$
5. **Divide both sides by 10 to isolate $t$:**
$$\frac{90}{\cancel{10}} = \frac{10t}{\cancel{10}}$$
$$9 = t$$
6. **Final answer:**
$$t = 9$$