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(-4k^4+14+3k^2)+(-3k^4-14k^2-8)

To simplify the expression (-4k^4+14+3k^2)+(-3k^4-14k^2-8), we can combine like terms.

First, let's add the coefficients of the terms with the same degree of k.

-4k^4 + (-3k^4) = -7k^4

Next, let's add the coefficients of the terms with k^2.

3k^2 + (-14k^2) = -11k^2

Finally, let's add the constants.

14 + (-8) = 6

Therefore, the simplified expression is -7k^4 - 11k^2 + 6.