When a negatively charged balloon is brought near a neutral wall, the charges in the wall will rearrange due to electrostatic induction. The negatively charged balloon will repel the negative charges in the wall (electrons), causing them to move away from the side of the wall that is closer to the balloon. This results in a concentration of positive charges on the side of the wall that is closer to the balloon, while the side farther away will have a relative excess of negative charges.
Therefore, the correct response is:
The wall will have its positive charges on the side closer to the balloon.