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Simplifying 0.003(5 + -1k) + 0.07(k + -8) = 1 (5 * 0.003 + -1k * 0.003) + 0.07(k + -8) = 1 (0.015 + -0.003k) + 0.07(k + -8) = 1 Reorder the terms: 0.015 + -0.003k + 0.07(-8 + k) = 1 0.015 + -0.003k + (-8 * 0.07 + k * 0.07) = 1 0.015 + -0.003k + (-0.56 + 0.07k) = 1 Reorder the terms: 0.015 + -0.56 + -0.003k + 0.07k = 1 Combine like terms: 0.015 + -0.56 = -0.545 -0.545 + -0.003k + 0.07k = 1 Combine like terms: -0.003k + 0.07k = 0.067k -0.545 + 0.067k = 1 Solving -0.545 + 0.067k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.545' to each side of the equation. -0.545 + 0.545 + 0.067k = 1 + 0.545 Combine like terms: -0.545 + 0.545 = 0.000 0.000 + 0.067k = 1 + 0.545 0.067k = 1 + 0.545 Combine like terms: 1 + 0.545 = 1.545 0.067k = 1.545 Divide each side by '0.067'. k = 23.05970149 Simplifying k = 23.05970149
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