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Simplifying 5x(5k + -4) = 0 Reorder the terms: 5x(-4 + 5k) = 0 (-4 * 5x + 5k * 5x) = 0 Reorder the terms: (25kx + -20x) = 0 (25kx + -20x) = 0 Solving 25kx + -20x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20x' to each side of the equation. 25kx + -20x + 20x = 0 + 20x Combine like terms: -20x + 20x = 0 25kx + 0 = 0 + 20x 25kx = 0 + 20x Remove the zero: 25kx = 20x Divide each side by '25x'. k = 0.8 Simplifying k = 0.8
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