[SOLVED] Delete specific characters from string lines

[EnfantNicolas]

[Solved]
I have this file right here, which is an extract of a much bigger file.

CSCIR, 30, 0, 0
CSYS, 0
MAT , 2306
TYPE, 2741
REAL, 2749
NBLOCK,6,SOLID, 1574331, 390115
(3i9,6e21.13e3) EUREKA
1163065 0 0 1.2309330490000E+001 1.4094185190000E+002-2.6164289660000E+000
1163066 0 0 1.6908245310000E+001 1.3347532020000E+002-3.5939584870000E+000
1163067 0 0 1.8897693910000E+001 1.3494341620000E+002-4.0168288420000E+000
1163068 0 0 1.4443393310000E+001 1.4091121090000E+002-3.0700380210000E+000
1163069 0 0 1.4714475250000E+001 1.3618873440000E+002-3.1276582650000E+000
1163070 0 0 1.7605477220000E+001 1.3609469910000E+002-3.7421597040000E+000
1163071 0 0 1.2177877690000E+001 1.4552741340000E+002-2.5884878110000E+000
1163072 0 0 1.2254404380000E+001 1.4326778460000E+002-2.6047540600000E+000

I already made code for Python to detect the starting point thanks to help from this forum (thanks a lot btw, advice worked wonders).
(EUREKA) marks this starting point.
Now I simply want to remove one 0 after E+ in every instance.

Example:

1163065 0 0 1.2309330490000E+001 1.4094185190000E+002-2.6164289660000E+000
becomes
1163065 0 0 1.2309330490000E+01 1.4094185190000E+02-2.6164289660000E+00