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Simplifying 0.09k + 0.13(k + 3000) = 61 Reorder the terms: 0.09k + 0.13(3000 + k) = 61 0.09k + (3000 * 0.13 + k * 0.13) = 61 0.09k + (390 + 0.13k) = 61 Reorder the terms: 390 + 0.09k + 0.13k = 61 Combine like terms: 0.09k + 0.13k = 0.22k 390 + 0.22k = 61 Solving 390 + 0.22k = 61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-390' to each side of the equation. 390 + -390 + 0.22k = 61 + -390 Combine like terms: 390 + -390 = 0 0 + 0.22k = 61 + -390 0.22k = 61 + -390 Combine like terms: 61 + -390 = -329 0.22k = -329 Divide each side by '0.22'. k = -1495.454545 Simplifying k = -1495.454545
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