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Simplifying 6y + (2k + -1) * x = 12 Reorder the terms: 6y + (-1 + 2k) * x = 12 Reorder the terms for easier multiplication: 6y + x(-1 + 2k) = 12 6y + (-1 * x + 2k * x) = 12 Reorder the terms: 6y + (2kx + -1x) = 12 6y + (2kx + -1x) = 12 Reorder the terms: 2kx + -1x + 6y = 12 Solving 2kx + -1x + 6y = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. 2kx + -1x + x + 6y = 12 + x Combine like terms: -1x + x = 0 2kx + 0 + 6y = 12 + x 2kx + 6y = 12 + x Add '-6y' to each side of the equation. 2kx + 6y + -6y = 12 + x + -6y Combine like terms: 6y + -6y = 0 2kx + 0 = 12 + x + -6y 2kx = 12 + x + -6y Divide each side by '2x'. k = 6x-1 + 0.5 + -3x-1y Simplifying k = 6x-1 + 0.5 + -3x-1y Reorder the terms: k = 0.5 + 6x-1 + -3x-1y
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