I think you meant to say the one on the left is meso, and yes it is because of the inernal mirror plane. so the meso ones is achiral.
the one on the right doesnt have a chiral center. remember you must have 4 different substituents to be classified as a chiral center. here, you have three methyl groups, and a F, so 2 different substituents and not 4.
so both are achiral, but because of different reasons.
im glad you get it! explaining it to you is actually helping me to review it as well haha! =)