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Simplifying (4 + 2k) * 0.6 + 3k = 0 Reorder the terms for easier multiplication: 0.6(4 + 2k) + 3k = 0 (4 * 0.6 + 2k * 0.6) + 3k = 0 (2.4 + 1.2k) + 3k = 0 Combine like terms: 1.2k + 3k = 4.2k 2.4 + 4.2k = 0 Solving 2.4 + 4.2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 4.2k = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 4.2k = 0 + -2.4 4.2k = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 4.2k = -2.4 Divide each side by '4.2'. k = -0.5714285714 Simplifying k = -0.5714285714
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