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Simplifying 0.005(2 + -1k) + 0.06(k + -4) = 1 (2 * 0.005 + -1k * 0.005) + 0.06(k + -4) = 1 (0.01 + -0.005k) + 0.06(k + -4) = 1 Reorder the terms: 0.01 + -0.005k + 0.06(-4 + k) = 1 0.01 + -0.005k + (-4 * 0.06 + k * 0.06) = 1 0.01 + -0.005k + (-0.24 + 0.06k) = 1 Reorder the terms: 0.01 + -0.24 + -0.005k + 0.06k = 1 Combine like terms: 0.01 + -0.24 = -0.23 -0.23 + -0.005k + 0.06k = 1 Combine like terms: -0.005k + 0.06k = 0.055k -0.23 + 0.055k = 1 Solving -0.23 + 0.055k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.23' to each side of the equation. -0.23 + 0.23 + 0.055k = 1 + 0.23 Combine like terms: -0.23 + 0.23 = 0.00 0.00 + 0.055k = 1 + 0.23 0.055k = 1 + 0.23 Combine like terms: 1 + 0.23 = 1.23 0.055k = 1.23 Divide each side by '0.055'. k = 22.36363636 Simplifying k = 22.36363636
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