Suppose a(2),a(3),a(4),a(5),a(6),a(7) ar...

Suppose `a_(2),a_(3),a_(4),a_(5),a_(6),a_(7)` are integers such that
`5/7=(a_(2))/(2!)+(a_(3))/(3!)+(a_(4))/(4!)+(a_(5))/(5!)+(a_(6))/(6!)+(a_(7))/(7!),`
where `0lea_(j)ltj"for "j=2,3,4,5,6,7.` The sum `a_(2)+a_(3)+a_(4)+a_(5)+a_(6)+a_(7)` is-

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