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Simplifying 3x(4k + -8) + x(k + -2k) + 2k + 27 = 0 Reorder the terms: 3x(-8 + 4k) + x(k + -2k) + 2k + 27 = 0 (-8 * 3x + 4k * 3x) + x(k + -2k) + 2k + 27 = 0 Reorder the terms: (12kx + -24x) + x(k + -2k) + 2k + 27 = 0 (12kx + -24x) + x(k + -2k) + 2k + 27 = 0 Combine like terms: k + -2k = -1k 12kx + -24x + x(-1k) + 2k + 27 = 0 Remove parenthesis around (-1k) 12kx + -24x + x * -1k + 2k + 27 = 0 Reorder the terms for easier multiplication: 12kx + -24x + -1x * k + 2k + 27 = 0 Multiply x * k 12kx + -24x + -1kx + 2k + 27 = 0 Reorder the terms: 27 + 2k + 12kx + -1kx + -24x = 0 Combine like terms: 12kx + -1kx = 11kx 27 + 2k + 11kx + -24x = 0 Solving 27 + 2k + 11kx + -24x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 2k + 11kx + -27 + -24x = 0 + -27 Reorder the terms: 27 + -27 + 2k + 11kx + -24x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2k + 11kx + -24x = 0 + -27 2k + 11kx + -24x = 0 + -27 Combine like terms: 0 + -27 = -27 2k + 11kx + -24x = -27 Add '24x' to each side of the equation. 2k + 11kx + -24x + 24x = -27 + 24x Combine like terms: -24x + 24x = 0 2k + 11kx + 0 = -27 + 24x 2k + 11kx = -27 + 24x Reorder the terms: 27 + 2k + 11kx + -24x = -27 + 24x + 27 + -24x Reorder the terms: 27 + 2k + 11kx + -24x = -27 + 27 + 24x + -24x Combine like terms: -27 + 27 = 0 27 + 2k + 11kx + -24x = 0 + 24x + -24x 27 + 2k + 11kx + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 27 + 2k + 11kx + -24x = 0 The solution to this equation could not be determined.
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