Question: top-center: equation "$16-2t=5t+9$"
**Problem:** Solve $16-2t=5t+9$.
1. Use the linear-equation rule: add or subtract the same expression on both sides, then divide both sides by the coefficient of the variable.
2. Add $2t$ to both sides to collect variable terms on the right.
$$16-2t+2t=5t+9+2t$$
$$16=7t+9$$
3. Subtract $9$ from both sides.
$$16-9=7t+9-9$$
$$7=7t$$
4. Divide both sides by $7$.
$$\frac{7}{7}=\frac{7t}{7}$$
$$\cancel{7}\div\cancel{7}=t$$
$$1=t$$
5. Therefore, $t=1$.
6. Check the answer.
$$16-2\left(1\right)=5\left(1\right)+9$$
$$14=14$$
The solution is $t=1$.