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Simplifying -6 + -3x(2k + 4) = 18 Reorder the terms: -6 + -3x(4 + 2k) = 18 -6 + (4 * -3x + 2k * -3x) = 18 Reorder the terms: -6 + (-6kx + -12x) = 18 -6 + (-6kx + -12x) = 18 Solving -6 + -6kx + -12x = 18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -6kx + 6 + -12x = 18 + 6 Reorder the terms: -6 + 6 + -6kx + -12x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -6kx + -12x = 18 + 6 -6kx + -12x = 18 + 6 Combine like terms: 18 + 6 = 24 -6kx + -12x = 24 Add '12x' to each side of the equation. -6kx + -12x + 12x = 24 + 12x Combine like terms: -12x + 12x = 0 -6kx + 0 = 24 + 12x -6kx = 24 + 12x Divide each side by '-6x'. k = -4x-1 + -2 Simplifying k = -4x-1 + -2 Reorder the terms: k = -2 + -4x-1
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