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Simplifying 16.3k + 19.2 + 7.5k = 14.5 Reorder the terms: 19.2 + 16.3k + 7.5k = 14.5 Combine like terms: 16.3k + 7.5k = 23.8k 19.2 + 23.8k = 14.5 Solving 19.2 + 23.8k = 14.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19.2' to each side of the equation. 19.2 + -19.2 + 23.8k = 14.5 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + 23.8k = 14.5 + -19.2 23.8k = 14.5 + -19.2 Combine like terms: 14.5 + -19.2 = -4.7 23.8k = -4.7 Divide each side by '23.8'. k = -0.1974789916 Simplifying k = -0.1974789916
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