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Simplifying k * 5.2 + 81.9 = 47.2 Reorder the terms for easier multiplication: 5.2k + 81.9 = 47.2 Reorder the terms: 81.9 + 5.2k = 47.2 Solving 81.9 + 5.2k = 47.2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-81.9' to each side of the equation. 81.9 + -81.9 + 5.2k = 47.2 + -81.9 Combine like terms: 81.9 + -81.9 = 0.0 0.0 + 5.2k = 47.2 + -81.9 5.2k = 47.2 + -81.9 Combine like terms: 47.2 + -81.9 = -34.7 5.2k = -34.7 Divide each side by '5.2'. k = -6.673076923 Simplifying k = -6.673076923
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