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Simplifying 2x + -1(k + -2) * y + 2 = 0 Reorder the terms: 2x + -1(-2 + k) * y + 2 = 0 Reorder the terms for easier multiplication: 2x + -1y(-2 + k) + 2 = 0 2x + (-2 * -1y + k * -1y) + 2 = 0 Reorder the terms: 2x + (-1ky + 2y) + 2 = 0 2x + (-1ky + 2y) + 2 = 0 Reorder the terms: 2 + -1ky + 2x + 2y = 0 Solving 2 + -1ky + 2x + 2y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1ky + 2x + -2 + 2y = 0 + -2 Reorder the terms: 2 + -2 + -1ky + 2x + 2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ky + 2x + 2y = 0 + -2 -1ky + 2x + 2y = 0 + -2 Combine like terms: 0 + -2 = -2 -1ky + 2x + 2y = -2 Add '-2x' to each side of the equation. -1ky + 2x + -2x + 2y = -2 + -2x Combine like terms: 2x + -2x = 0 -1ky + 0 + 2y = -2 + -2x -1ky + 2y = -2 + -2x Add '-2y' to each side of the equation. -1ky + 2y + -2y = -2 + -2x + -2y Combine like terms: 2y + -2y = 0 -1ky + 0 = -2 + -2x + -2y -1ky = -2 + -2x + -2y Divide each side by '-1y'. k = 2y-1 + 2xy-1 + 2 Simplifying k = 2y-1 + 2xy-1 + 2 Reorder the terms: k = 2 + 2xy-1 + 2y-1
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