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Simplifying 30x + (k + -20) * y = 0 Reorder the terms: 30x + (-20 + k) * y = 0 Reorder the terms for easier multiplication: 30x + y(-20 + k) = 0 30x + (-20 * y + k * y) = 0 Reorder the terms: 30x + (ky + -20y) = 0 30x + (ky + -20y) = 0 Reorder the terms: ky + 30x + -20y = 0 Solving ky + 30x + -20y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30x' to each side of the equation. ky + 30x + -30x + -20y = 0 + -30x Combine like terms: 30x + -30x = 0 ky + 0 + -20y = 0 + -30x ky + -20y = 0 + -30x Remove the zero: ky + -20y = -30x Add '20y' to each side of the equation. ky + -20y + 20y = -30x + 20y Combine like terms: -20y + 20y = 0 ky + 0 = -30x + 20y ky = -30x + 20y Divide each side by 'y'. k = -30xy-1 + 20 Simplifying k = -30xy-1 + 20 Reorder the terms: k = 20 + -30xy-1
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