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Simplifying x2 + y2 + -8x + 10y + k = 0 Reorder the terms: k + -8x + x2 + 10y + y2 = 0 Solving k + -8x + x2 + 10y + y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8x' to each side of the equation. k + -8x + x2 + 10y + 8x + y2 = 0 + 8x Reorder the terms: k + -8x + 8x + x2 + 10y + y2 = 0 + 8x Combine like terms: -8x + 8x = 0 k + 0 + x2 + 10y + y2 = 0 + 8x k + x2 + 10y + y2 = 0 + 8x Remove the zero: k + x2 + 10y + y2 = 8x Add '-1x2' to each side of the equation. k + x2 + 10y + -1x2 + y2 = 8x + -1x2 Reorder the terms: k + x2 + -1x2 + 10y + y2 = 8x + -1x2 Combine like terms: x2 + -1x2 = 0 k + 0 + 10y + y2 = 8x + -1x2 k + 10y + y2 = 8x + -1x2 Add '-10y' to each side of the equation. k + 10y + -10y + y2 = 8x + -1x2 + -10y Combine like terms: 10y + -10y = 0 k + 0 + y2 = 8x + -1x2 + -10y k + y2 = 8x + -1x2 + -10y Add '-1y2' to each side of the equation. k + y2 + -1y2 = 8x + -1x2 + -10y + -1y2 Combine like terms: y2 + -1y2 = 0 k + 0 = 8x + -1x2 + -10y + -1y2 k = 8x + -1x2 + -10y + -1y2 Simplifying k = 8x + -1x2 + -10y + -1y2
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