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Simplifying 20x + (k + -10) * y = 0 Reorder the terms: 20x + (-10 + k) * y = 0 Reorder the terms for easier multiplication: 20x + y(-10 + k) = 0 20x + (-10 * y + k * y) = 0 Reorder the terms: 20x + (ky + -10y) = 0 20x + (ky + -10y) = 0 Reorder the terms: ky + 20x + -10y = 0 Solving ky + 20x + -10y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20x' to each side of the equation. ky + 20x + -20x + -10y = 0 + -20x Combine like terms: 20x + -20x = 0 ky + 0 + -10y = 0 + -20x ky + -10y = 0 + -20x Remove the zero: ky + -10y = -20x Add '10y' to each side of the equation. ky + -10y + 10y = -20x + 10y Combine like terms: -10y + 10y = 0 ky + 0 = -20x + 10y ky = -20x + 10y Divide each side by 'y'. k = -20xy-1 + 10 Simplifying k = -20xy-1 + 10 Reorder the terms: k = 10 + -20xy-1
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