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Simplifying 1.2k + 2.3 = -0.5k + 7.4 Reorder the terms: 2.3 + 1.2k = -0.5k + 7.4 Reorder the terms: 2.3 + 1.2k = 7.4 + -0.5k Solving 2.3 + 1.2k = 7.4 + -0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5k' to each side of the equation. 2.3 + 1.2k + 0.5k = 7.4 + -0.5k + 0.5k Combine like terms: 1.2k + 0.5k = 1.7k 2.3 + 1.7k = 7.4 + -0.5k + 0.5k Combine like terms: -0.5k + 0.5k = 0.0 2.3 + 1.7k = 7.4 + 0.0 2.3 + 1.7k = 7.4 Add '-2.3' to each side of the equation. 2.3 + -2.3 + 1.7k = 7.4 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 1.7k = 7.4 + -2.3 1.7k = 7.4 + -2.3 Combine like terms: 7.4 + -2.3 = 5.1 1.7k = 5.1 Divide each side by '1.7'. k = 3 Simplifying k = 3
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