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Simplifying 0.09k + 13(k + 300) = 61 Reorder the terms: 0.09k + 13(300 + k) = 61 0.09k + (300 * 13 + k * 13) = 61 0.09k + (3900 + 13k) = 61 Reorder the terms: 3900 + 0.09k + 13k = 61 Combine like terms: 0.09k + 13k = 13.09k 3900 + 13.09k = 61 Solving 3900 + 13.09k = 61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3900' to each side of the equation. 3900 + -3900 + 13.09k = 61 + -3900 Combine like terms: 3900 + -3900 = 0 0 + 13.09k = 61 + -3900 13.09k = 61 + -3900 Combine like terms: 61 + -3900 = -3839 13.09k = -3839 Divide each side by '13.09'. k = -293.2773109 Simplifying k = -293.2773109
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