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Simplifying 9.4k + 3.5 + 4.8k = -46.2 Reorder the terms: 3.5 + 9.4k + 4.8k = -46.2 Combine like terms: 9.4k + 4.8k = 14.2k 3.5 + 14.2k = -46.2 Solving 3.5 + 14.2k = -46.2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 14.2k = -46.2 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 14.2k = -46.2 + -3.5 14.2k = -46.2 + -3.5 Combine like terms: -46.2 + -3.5 = -49.7 14.2k = -49.7 Divide each side by '14.2'. k = -3.5 Simplifying k = -3.5
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