This is a regular verb. It follows the conjugation pattern of the verb hablar.
PresentPresente
Mi hija se peina sola.
My daughter combs her hair by herself.
PreteritePretérito indefinido
Me peiné rápido y salí.
I combed my hair quickly and left.
ImperfectPretérito imperfecto
Mi abuela se peinaba delante del espejo.
My grandmother combed her hair in front of the mirror.