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Simplifying 1.2k + 2.3 = -5k + 7.4 Reorder the terms: 2.3 + 1.2k = -5k + 7.4 Reorder the terms: 2.3 + 1.2k = 7.4 + -5k Solving 2.3 + 1.2k = 7.4 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 2.3 + 1.2k + 5k = 7.4 + -5k + 5k Combine like terms: 1.2k + 5k = 6.2k 2.3 + 6.2k = 7.4 + -5k + 5k Combine like terms: -5k + 5k = 0 2.3 + 6.2k = 7.4 + 0 2.3 + 6.2k = 7.4 Add '-2.3' to each side of the equation. 2.3 + -2.3 + 6.2k = 7.4 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 6.2k = 7.4 + -2.3 6.2k = 7.4 + -2.3 Combine like terms: 7.4 + -2.3 = 5.1 6.2k = 5.1 Divide each side by '6.2'. k = 0.8225806452 Simplifying k = 0.8225806452
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