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Simplifying -5(-1 + -2k) = 85 (-1 * -5 + -2k * -5) = 85 (5 + 10k) = 85 Solving 5 + 10k = 85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10k = 85 + -5 Combine like terms: 5 + -5 = 0 0 + 10k = 85 + -5 10k = 85 + -5 Combine like terms: 85 + -5 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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