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Simplifying -1x + -1y + k(x + y) = 0 -1x + -1y + (x * k + y * k) = 0 -1x + -1y + (kx + ky) = 0 Reorder the terms: kx + ky + -1x + -1y = 0 Solving kx + ky + -1x + -1y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. kx + ky + -1x + x + -1y = 0 + x Combine like terms: -1x + x = 0 kx + ky + 0 + -1y = 0 + x kx + ky + -1y = 0 + x Remove the zero: kx + ky + -1y = x Add 'y' to each side of the equation. kx + ky + -1y + y = x + y Combine like terms: -1y + y = 0 kx + ky + 0 = x + y kx + ky = x + y Reorder the terms: kx + ky + -1x + -1y = x + -1x + y + -1y Combine like terms: x + -1x = 0 kx + ky + -1x + -1y = 0 + y + -1y kx + ky + -1x + -1y = y + -1y Combine like terms: y + -1y = 0 kx + ky + -1x + -1y = 0 The solution to this equation could not be determined.
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