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