A sequence x(n) with the z-transform X(z) = z⁴ + z² -2z + 2-3z^-4 is applied as an input to a linear, time-invariant system with the impulse response h(n) = 2$\delta$(n-3) where $\delta$(n) = $ \begin{cases} 1, n = 0 \\ 0, otherwise \end{cases}

$ The output at n = 4 is

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