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Simplifying 1.591 + 0.003k + -0.002 + 0.002k = -0.003 + k Reorder the terms: 1.591 + -0.002 + 0.003k + 0.002k = -0.003 + k Combine like terms: 1.591 + -0.002 = 1.589 1.589 + 0.003k + 0.002k = -0.003 + k Combine like terms: 0.003k + 0.002k = 0.005k 1.589 + 0.005k = -0.003 + k Solving 1.589 + 0.005k = -0.003 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 1.589 + 0.005k + -1k = -0.003 + k + -1k Combine like terms: 0.005k + -1k = -0.995k 1.589 + -0.995k = -0.003 + k + -1k Combine like terms: k + -1k = 0 1.589 + -0.995k = -0.003 + 0 1.589 + -0.995k = -0.003 Add '-1.589' to each side of the equation. 1.589 + -1.589 + -0.995k = -0.003 + -1.589 Combine like terms: 1.589 + -1.589 = 0.000 0.000 + -0.995k = -0.003 + -1.589 -0.995k = -0.003 + -1.589 Combine like terms: -0.003 + -1.589 = -1.592 -0.995k = -1.592 Divide each side by '-0.995'. k = 1.6 Simplifying k = 1.6
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