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Simplifying 0.004(5 + -1k) + 0.08(k + -4) = 1 (5 * 0.004 + -1k * 0.004) + 0.08(k + -4) = 1 (0.02 + -0.004k) + 0.08(k + -4) = 1 Reorder the terms: 0.02 + -0.004k + 0.08(-4 + k) = 1 0.02 + -0.004k + (-4 * 0.08 + k * 0.08) = 1 0.02 + -0.004k + (-0.32 + 0.08k) = 1 Reorder the terms: 0.02 + -0.32 + -0.004k + 0.08k = 1 Combine like terms: 0.02 + -0.32 = -0.3 -0.3 + -0.004k + 0.08k = 1 Combine like terms: -0.004k + 0.08k = 0.076k -0.3 + 0.076k = 1 Solving -0.3 + 0.076k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.076k = 1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.076k = 1 + 0.3 0.076k = 1 + 0.3 Combine like terms: 1 + 0.3 = 1.3 0.076k = 1.3 Divide each side by '0.076'. k = 17.10526316 Simplifying k = 17.10526316
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