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Simplifying 0.003(2 + -1k) + 0.01(k + -5) = 1 (2 * 0.003 + -1k * 0.003) + 0.01(k + -5) = 1 (0.006 + -0.003k) + 0.01(k + -5) = 1 Reorder the terms: 0.006 + -0.003k + 0.01(-5 + k) = 1 0.006 + -0.003k + (-5 * 0.01 + k * 0.01) = 1 0.006 + -0.003k + (-0.05 + 0.01k) = 1 Reorder the terms: 0.006 + -0.05 + -0.003k + 0.01k = 1 Combine like terms: 0.006 + -0.05 = -0.044 -0.044 + -0.003k + 0.01k = 1 Combine like terms: -0.003k + 0.01k = 0.007k -0.044 + 0.007k = 1 Solving -0.044 + 0.007k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.044' to each side of the equation. -0.044 + 0.044 + 0.007k = 1 + 0.044 Combine like terms: -0.044 + 0.044 = 0.000 0.000 + 0.007k = 1 + 0.044 0.007k = 1 + 0.044 Combine like terms: 1 + 0.044 = 1.044 0.007k = 1.044 Divide each side by '0.007'. k = 149.1428571 Simplifying k = 149.1428571
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