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Simplifying 4.2(2k + 12) + 3k = 0 Reorder the terms: 4.2(12 + 2k) + 3k = 0 (12 * 4.2 + 2k * 4.2) + 3k = 0 (50.4 + 8.4k) + 3k = 0 Combine like terms: 8.4k + 3k = 11.4k 50.4 + 11.4k = 0 Solving 50.4 + 11.4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-50.4' to each side of the equation. 50.4 + -50.4 + 11.4k = 0 + -50.4 Combine like terms: 50.4 + -50.4 = 0.0 0.0 + 11.4k = 0 + -50.4 11.4k = 0 + -50.4 Combine like terms: 0 + -50.4 = -50.4 11.4k = -50.4 Divide each side by '11.4'. k = -4.421052632 Simplifying k = -4.421052632
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