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Simplifying (5k + -5)(-4) = 0 Reorder the terms: (-5 + 5k)(-4) = 0 Reorder the terms for easier multiplication: -4(-5 + 5k) = 0 (-5 * -4 + 5k * -4) = 0 (20 + -20k) = 0 Solving 20 + -20k = 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 + -20 + -20k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -20k = 0 + -20 -20k = 0 + -20 Combine like terms: 0 + -20 = -20 -20k = -20 Divide each side by '-20'. k = 1 Simplifying k = 1
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