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Simplifying 4000 = 40(1 + -1k) 4000 = (1 * 40 + -1k * 40) 4000 = (40 + -40k) Solving 4000 = 40 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. 4000 + 40k = 40 + -40k + 40k Combine like terms: -40k + 40k = 0 4000 + 40k = 40 + 0 4000 + 40k = 40 Add '-4000' to each side of the equation. 4000 + -4000 + 40k = 40 + -4000 Combine like terms: 4000 + -4000 = 0 0 + 40k = 40 + -4000 40k = 40 + -4000 Combine like terms: 40 + -4000 = -3960 40k = -3960 Divide each side by '40'. k = -99 Simplifying k = -99
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