Write a balanced chemical equation for the reaction that is described and then classify the reaction as a substitution, an elimination, an addition, or a rearrangement reaction.

(a) 3,3-dimethylbut-1-ene reacts in acid solution to yield 2,3-dimethylbut-2-ene.

(b) 1-iodo-2,2-dimethylpropane reacts with water to produce, 2,2-dimethylpropan-1-ol, and HI(aq).

(c) 2-chloro-2-methylpropane reacts with NaOH(aq) to give 2-methylprop-1-ene, sodium chloride, and water.