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Simplifying 0.03k + 0.05(1000 + -1k) = 34 0.03k + (1000 * 0.05 + -1k * 0.05) = 34 0.03k + (50 + -0.05k) = 34 Reorder the terms: 50 + 0.03k + -0.05k = 34 Combine like terms: 0.03k + -0.05k = -0.02k 50 + -0.02k = 34 Solving 50 + -0.02k = 34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -0.02k = 34 + -50 Combine like terms: 50 + -50 = 0 0 + -0.02k = 34 + -50 -0.02k = 34 + -50 Combine like terms: 34 + -50 = -16 -0.02k = -16 Divide each side by '-0.02'. k = 800 Simplifying k = 800
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