Given: $~~\displaystyle \int_{-1}^5f(x)\,dx=A+2B~~~$ and $~~~\displaystyle \int_{-1}^5g(x)\,dx=2A-B\,$.
What is the value of $~~\displaystyle \int_{-1}^5\big(f(x)+2g(x)-4)\,dx\,$?
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