EGE and EA are the same thing. You don't say that because EA is negative, and EGE is negative, then EA = EGE.
EA = -EGE
EA = -kJ/mol
but if they are the same,
why do they have different 'sign'
-ive and + ive have different meanings respectively.
give an example: if EA= -165, then EGE = +165( since EA= - EGE)
they have same magnitude and meaning
but - ive means energy realeased to surrounding; +ive means energy absorbed .