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Simplifying -20(-5k + -8) = -40 Reorder the terms: -20(-8 + -5k) = -40 (-8 * -20 + -5k * -20) = -40 (160 + 100k) = -40 Solving 160 + 100k = -40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 100k = -40 + -160 Combine like terms: 160 + -160 = 0 0 + 100k = -40 + -160 100k = -40 + -160 Combine like terms: -40 + -160 = -200 100k = -200 Divide each side by '100'. k = -2 Simplifying k = -2
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