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Simplifying 18.6k + 5k + 15.46 = -19.54 + 9.6k Reorder the terms: 15.46 + 18.6k + 5k = -19.54 + 9.6k Combine like terms: 18.6k + 5k = 23.6k 15.46 + 23.6k = -19.54 + 9.6k Solving 15.46 + 23.6k = -19.54 + 9.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.6k' to each side of the equation. 15.46 + 23.6k + -9.6k = -19.54 + 9.6k + -9.6k Combine like terms: 23.6k + -9.6k = 14k 15.46 + 14k = -19.54 + 9.6k + -9.6k Combine like terms: 9.6k + -9.6k = 0.0 15.46 + 14k = -19.54 + 0.0 15.46 + 14k = -19.54 Add '-15.46' to each side of the equation. 15.46 + -15.46 + 14k = -19.54 + -15.46 Combine like terms: 15.46 + -15.46 = 0.00 0.00 + 14k = -19.54 + -15.46 14k = -19.54 + -15.46 Combine like terms: -19.54 + -15.46 = -35 14k = -35 Divide each side by '14'. k = -2.5 Simplifying k = -2.5
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