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Simplifying 2x + (k + -2) * y + -5 = 0 Reorder the terms: 2x + (-2 + k) * y + -5 = 0 Reorder the terms for easier multiplication: 2x + y(-2 + k) + -5 = 0 2x + (-2 * y + k * y) + -5 = 0 Reorder the terms: 2x + (ky + -2y) + -5 = 0 2x + (ky + -2y) + -5 = 0 Reorder the terms: -5 + ky + 2x + -2y = 0 Solving -5 + ky + 2x + -2y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + ky + 2x + 5 + -2y = 0 + 5 Reorder the terms: -5 + 5 + ky + 2x + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + ky + 2x + -2y = 0 + 5 ky + 2x + -2y = 0 + 5 Combine like terms: 0 + 5 = 5 ky + 2x + -2y = 5 Add '-2x' to each side of the equation. ky + 2x + -2x + -2y = 5 + -2x Combine like terms: 2x + -2x = 0 ky + 0 + -2y = 5 + -2x ky + -2y = 5 + -2x Add '2y' to each side of the equation. ky + -2y + 2y = 5 + -2x + 2y Combine like terms: -2y + 2y = 0 ky + 0 = 5 + -2x + 2y ky = 5 + -2x + 2y Divide each side by 'y'. k = 5y-1 + -2xy-1 + 2 Simplifying k = 5y-1 + -2xy-1 + 2 Reorder the terms: k = 2 + -2xy-1 + 5y-1
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