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