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Simplifying 0.09k + 0.13(k + 1300) = 61 Reorder the terms: 0.09k + 0.13(1300 + k) = 61 0.09k + (1300 * 0.13 + k * 0.13) = 61 0.09k + (169 + 0.13k) = 61 Reorder the terms: 169 + 0.09k + 0.13k = 61 Combine like terms: 0.09k + 0.13k = 0.22k 169 + 0.22k = 61 Solving 169 + 0.22k = 61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-169' to each side of the equation. 169 + -169 + 0.22k = 61 + -169 Combine like terms: 169 + -169 = 0 0 + 0.22k = 61 + -169 0.22k = 61 + -169 Combine like terms: 61 + -169 = -108 0.22k = -108 Divide each side by '0.22'. k = -490.9090909 Simplifying k = -490.9090909
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