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Simplifying -14.1k + 19.22 = -16k + -13.71 + 12.41 Reorder the terms: 19.22 + -14.1k = -16k + -13.71 + 12.41 Reorder the terms: 19.22 + -14.1k = -13.71 + 12.41 + -16k Combine like terms: -13.71 + 12.41 = -1.3 19.22 + -14.1k = -1.3 + -16k Solving 19.22 + -14.1k = -1.3 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 19.22 + -14.1k + 16k = -1.3 + -16k + 16k Combine like terms: -14.1k + 16k = 1.9k 19.22 + 1.9k = -1.3 + -16k + 16k Combine like terms: -16k + 16k = 0 19.22 + 1.9k = -1.3 + 0 19.22 + 1.9k = -1.3 Add '-19.22' to each side of the equation. 19.22 + -19.22 + 1.9k = -1.3 + -19.22 Combine like terms: 19.22 + -19.22 = 0.00 0.00 + 1.9k = -1.3 + -19.22 1.9k = -1.3 + -19.22 Combine like terms: -1.3 + -19.22 = -20.52 1.9k = -20.52 Divide each side by '1.9'. k = -10.8 Simplifying k = -10.8
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