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Simplifying x2 + y2 + -6x + ky + -23 = 0 Reorder the terms: -23 + ky + -6x + x2 + y2 = 0 Solving -23 + ky + -6x + x2 + y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23' to each side of the equation. -23 + ky + -6x + x2 + 23 + y2 = 0 + 23 Reorder the terms: -23 + 23 + ky + -6x + x2 + y2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + ky + -6x + x2 + y2 = 0 + 23 ky + -6x + x2 + y2 = 0 + 23 Combine like terms: 0 + 23 = 23 ky + -6x + x2 + y2 = 23 Add '6x' to each side of the equation. ky + -6x + x2 + 6x + y2 = 23 + 6x Reorder the terms: ky + -6x + 6x + x2 + y2 = 23 + 6x Combine like terms: -6x + 6x = 0 ky + 0 + x2 + y2 = 23 + 6x ky + x2 + y2 = 23 + 6x Add '-1x2' to each side of the equation. ky + x2 + -1x2 + y2 = 23 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 ky + 0 + y2 = 23 + 6x + -1x2 ky + y2 = 23 + 6x + -1x2 Add '-1y2' to each side of the equation. ky + y2 + -1y2 = 23 + 6x + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 ky + 0 = 23 + 6x + -1x2 + -1y2 ky = 23 + 6x + -1x2 + -1y2 Divide each side by 'y'. k = 23y-1 + 6xy-1 + -1x2y-1 + -1y Simplifying k = 23y-1 + 6xy-1 + -1x2y-1 + -1y Reorder the terms: k = 6xy-1 + -1x2y-1 + 23y-1 + -1y
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