''Incomplete'' expression

Algebra Level 4

In the expansion of \((1 - x- kx^2)^8 \), the coefficient of \(x^3\) is 3.5 times the sum of the coefficients of \(x\) and \(x^2\).

\(k\) can be expressed as \(\frac{a}{b}\) where a and b are coprime positive integers. What is the value of \(a+b\)?

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