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Simplifying 0.5k + 3.6 = 4.2 + -1.5k Reorder the terms: 3.6 + 0.5k = 4.2 + -1.5k Solving 3.6 + 0.5k = 4.2 + -1.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.5k' to each side of the equation. 3.6 + 0.5k + 1.5k = 4.2 + -1.5k + 1.5k Combine like terms: 0.5k + 1.5k = 2k 3.6 + 2k = 4.2 + -1.5k + 1.5k Combine like terms: -1.5k + 1.5k = 0.0 3.6 + 2k = 4.2 + 0.0 3.6 + 2k = 4.2 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 2k = 4.2 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 2k = 4.2 + -3.6 2k = 4.2 + -3.6 Combine like terms: 4.2 + -3.6 = 0.6 2k = 0.6 Divide each side by '2'. k = 0.3 Simplifying k = 0.3
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