1. We are asked to solve the equation using the balance method: $24 - d = 2d - 9$. 2. The balance method means we perform the same operation on both sides to isolate the variable $d$. 3. First, add $d$ to both sides to move all $d$ terms to one side: $$24 - \cancel{d} + d = 2d - 9 + d$$ which simplifies to $$24 = 3d - 9$$ 4. Next, add 9 to both sides to move constants to the other side: $$24 + 9 = 3d - 9 + 9$$ which simplifies to $$33 = 3d$$ 5. Finally, divide both sides by 3 to solve for $d$: $$\frac{33}{\cancel{3}} = \frac{3d}{\cancel{3}}$$ which simplifies to $$11 = d$$ 6. Therefore, the solution is $d = 11$. This means when $d$ is 11, both sides of the original equation are equal.