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Simplifying 1.2k + 2.3 = -0.5 + 7.4 Reorder the terms: 2.3 + 1.2k = -0.5 + 7.4 Combine like terms: -0.5 + 7.4 = 6.9 2.3 + 1.2k = 6.9 Solving 2.3 + 1.2k = 6.9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.3' to each side of the equation. 2.3 + -2.3 + 1.2k = 6.9 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 1.2k = 6.9 + -2.3 1.2k = 6.9 + -2.3 Combine like terms: 6.9 + -2.3 = 4.6 1.2k = 4.6 Divide each side by '1.2'. k = 3.833333333 Simplifying k = 3.833333333
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