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Simplifying 10x + (k + -6) * y = 0 Reorder the terms: 10x + (-6 + k) * y = 0 Reorder the terms for easier multiplication: 10x + y(-6 + k) = 0 10x + (-6 * y + k * y) = 0 Reorder the terms: 10x + (ky + -6y) = 0 10x + (ky + -6y) = 0 Reorder the terms: ky + 10x + -6y = 0 Solving ky + 10x + -6y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10x' to each side of the equation. ky + 10x + -10x + -6y = 0 + -10x Combine like terms: 10x + -10x = 0 ky + 0 + -6y = 0 + -10x ky + -6y = 0 + -10x Remove the zero: ky + -6y = -10x Add '6y' to each side of the equation. ky + -6y + 6y = -10x + 6y Combine like terms: -6y + 6y = 0 ky + 0 = -10x + 6y ky = -10x + 6y Divide each side by 'y'. k = -10xy-1 + 6 Simplifying k = -10xy-1 + 6 Reorder the terms: k = 6 + -10xy-1
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