If x²+kx-14= (x+2)(2x-7), find the value of k. Please solve step by step.
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x²-kx-14= (x+2)(2x-7)
Or, x²-kx-14= x²+2x²-7x+4x-14
Or, x²-kx-14= 3x²-3x-14
Or, x(x-k)= 3x(x-1)
Or, x- k= 3x-3
Or, k= 3-2x
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