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Simplifying 12x + (k + -8) * y = 0 Reorder the terms: 12x + (-8 + k) * y = 0 Reorder the terms for easier multiplication: 12x + y(-8 + k) = 0 12x + (-8 * y + k * y) = 0 Reorder the terms: 12x + (ky + -8y) = 0 12x + (ky + -8y) = 0 Reorder the terms: ky + 12x + -8y = 0 Solving ky + 12x + -8y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12x' to each side of the equation. ky + 12x + -12x + -8y = 0 + -12x Combine like terms: 12x + -12x = 0 ky + 0 + -8y = 0 + -12x ky + -8y = 0 + -12x Remove the zero: ky + -8y = -12x Add '8y' to each side of the equation. ky + -8y + 8y = -12x + 8y Combine like terms: -8y + 8y = 0 ky + 0 = -12x + 8y ky = -12x + 8y Divide each side by 'y'. k = -12xy-1 + 8 Simplifying k = -12xy-1 + 8 Reorder the terms: k = 8 + -12xy-1
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