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Simplifying -10(-5x + -2 + 4k) = 0 Reorder the terms: -10(-2 + 4k + -5x) = 0 (-2 * -10 + 4k * -10 + -5x * -10) = 0 (20 + -40k + 50x) = 0 Solving 20 + -40k + 50x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -40k + -20 + 50x = 0 + -20 Reorder the terms: 20 + -20 + -40k + 50x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -40k + 50x = 0 + -20 -40k + 50x = 0 + -20 Combine like terms: 0 + -20 = -20 -40k + 50x = -20 Add '-50x' to each side of the equation. -40k + 50x + -50x = -20 + -50x Combine like terms: 50x + -50x = 0 -40k + 0 = -20 + -50x -40k = -20 + -50x Divide each side by '-40'. k = 0.5 + 1.25x Simplifying k = 0.5 + 1.25x
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