The word negaban is the imperfect form of negar in the third person plural.
See the full negar conjugation

negar

En dicho libro negaban la autenticidad del Diario de Ana Frank.
In it, they denied the authenticity of Anne Frank's Diary.
Ellos no negaban la reacción lunar ni la fuerza de los planetas.
They did not deny lunar reaction and the force of the planets.
Estos negaban la necesidad de semejante partido.
They denied the necessity for such a party.
Todos las miraban en secreto, pero todos lo negaban.
Everyone secretly watched them, but everyone claimed not to.
Pero se negaban a darme una respuesta.
But they wouldn't give me an answer.
No entendía por que se negaban a verlo. No tenía sentido.
I don't understand why they are denying seeing that.
Los bailarines varones se negaban a bailar con ella.
The guys wouldn't dance with her.
Y ellos nunca se negaban.
And they'd never said no.
El hecho es que esta ecclesia se ocupó del problema de estos que negaban la Verdad.
The fact is that this ecclesia had dealt with those who denied the Truth.
Hace algunos meses, la mayoría de los responsable políticos negaban simplemente la existencia de ECHELON.
A few months ago, most of the political leaders quite simply denied the existence of Echelon.
Sin embargo, algunas personas negaban que todo aquello hubiera sido parte de una política sistemática.
However there are some who deny that all of this was based on a systematic policy.
Los recabitas habían obedecido a la orden de su padre, y se negaban a transgredirla.
The Rechabites had obeyed the command of their father and now refused to be enticed into transgression.
Las dificultades propias de la pobreza eran factores importantes que negaban el acceso equitativo a la justicia.
Difficulties inherent in poverty are major factors in the denial of a fair access to justice.
En Kabul reina la paz y su pueblo ha recuperado la dignidad que los talibanes le negaban.
Kabul is peaceful, its people displaying the dignity that the Taliban sought to deny them.
Al comienzo no solamente los campesinos, sino también los proletarios se negaban a enrolarse.
In the first period not only the peasants but also the workers were unwilling to join the Army.
Pero dentro del Congreso, sobre todo varios dirigentes panistas, se negaban a hablar con encapuchados.
But many Congress members, especially several PAN leaders, rejected the notion of talking to people in masks.
El Jefe del hospital respondió que las familias de las víctimas se negaban a permitir tal cosa.
The head of the hospital responded by saying that the victims' families were refusing to do that.
Sin embargo, los talibanes enviaron una carta al Secretario General en que negaban enérgicamente la responsabilidad de la iniciación de la ofensiva.
The Taliban, however, sent a letter to the Secretary-General strongly denying its responsibility for initiating the offensive.
Cinco hombres fueron encarcelados porque se negaban a dar garantías de que no iban a dificultar las obras en sus tierras.
The five men were sent to prison because they refused to give assurances that they would not obstruct work on their land.
Los guardias dijeron a uno de los reclusos que negaban el tratamiento médico como castigo por la huelga de hambre en curso.
One prisoner was told by the prison guards that the denial of medical treatment was punishment for them going on hunger strike.
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