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Simplifying (4 + 2k) * 0.6 + 3k = 24 + 6k Reorder the terms for easier multiplication: 0.6(4 + 2k) + 3k = 24 + 6k (4 * 0.6 + 2k * 0.6) + 3k = 24 + 6k (2.4 + 1.2k) + 3k = 24 + 6k Combine like terms: 1.2k + 3k = 4.2k 2.4 + 4.2k = 24 + 6k Solving 2.4 + 4.2k = 24 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 2.4 + 4.2k + -6k = 24 + 6k + -6k Combine like terms: 4.2k + -6k = -1.8k 2.4 + -1.8k = 24 + 6k + -6k Combine like terms: 6k + -6k = 0 2.4 + -1.8k = 24 + 0 2.4 + -1.8k = 24 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -1.8k = 24 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1.8k = 24 + -2.4 -1.8k = 24 + -2.4 Combine like terms: 24 + -2.4 = 21.6 -1.8k = 21.6 Divide each side by '-1.8'. k = -12 Simplifying k = -12
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