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Simplifying kx + 3y + -1k + 3 = 12x + ky + -1k Reorder the terms: 3 + -1k + kx + 3y = 12x + ky + -1k Reorder the terms: 3 + -1k + kx + 3y = -1k + ky + 12x Add 'k' to each side of the equation. 3 + -1k + kx + k + 3y = -1k + ky + k + 12x Reorder the terms: 3 + -1k + k + kx + 3y = -1k + ky + k + 12x Combine like terms: -1k + k = 0 3 + 0 + kx + 3y = -1k + ky + k + 12x 3 + kx + 3y = -1k + ky + k + 12x Reorder the terms: 3 + kx + 3y = -1k + k + ky + 12x Combine like terms: -1k + k = 0 3 + kx + 3y = 0 + ky + 12x 3 + kx + 3y = ky + 12x Solving 3 + kx + 3y = ky + 12x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1ky' to each side of the equation. 3 + kx + -1ky + 3y = ky + -1ky + 12x Combine like terms: ky + -1ky = 0 3 + kx + -1ky + 3y = 0 + 12x 3 + kx + -1ky + 3y = 12x Add '-3' to each side of the equation. 3 + kx + -1ky + -3 + 3y = -3 + 12x Reorder the terms: 3 + -3 + kx + -1ky + 3y = -3 + 12x Combine like terms: 3 + -3 = 0 0 + kx + -1ky + 3y = -3 + 12x kx + -1ky + 3y = -3 + 12x Add '-3y' to each side of the equation. kx + -1ky + 3y + -3y = -3 + 12x + -3y Combine like terms: 3y + -3y = 0 kx + -1ky + 0 = -3 + 12x + -3y kx + -1ky = -3 + 12x + -3y Reorder the terms: 3 + kx + -1ky + -12x + 3y = -3 + 12x + -3y + 3 + -12x + 3y Reorder the terms: 3 + kx + -1ky + -12x + 3y = -3 + 3 + 12x + -12x + -3y + 3y Combine like terms: -3 + 3 = 0 3 + kx + -1ky + -12x + 3y = 0 + 12x + -12x + -3y + 3y 3 + kx + -1ky + -12x + 3y = 12x + -12x + -3y + 3y Combine like terms: 12x + -12x = 0 3 + kx + -1ky + -12x + 3y = 0 + -3y + 3y 3 + kx + -1ky + -12x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 3 + kx + -1ky + -12x + 3y = 0 The solution to this equation could not be determined.
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