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Simplifying 0.09k + 0.13(k + 300) = 61 Reorder the terms: 0.09k + 0.13(300 + k) = 61 0.09k + (300 * 0.13 + k * 0.13) = 61 0.09k + (39 + 0.13k) = 61 Reorder the terms: 39 + 0.09k + 0.13k = 61 Combine like terms: 0.09k + 0.13k = 0.22k 39 + 0.22k = 61 Solving 39 + 0.22k = 61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 0.22k = 61 + -39 Combine like terms: 39 + -39 = 0 0 + 0.22k = 61 + -39 0.22k = 61 + -39 Combine like terms: 61 + -39 = 22 0.22k = 22 Divide each side by '0.22'. k = 100 Simplifying k = 100
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