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Simplifying -19.6k + 16.6k + 17.4 = -2.9k + 19.4 Reorder the terms: 17.4 + -19.6k + 16.6k = -2.9k + 19.4 Combine like terms: -19.6k + 16.6k = -3k 17.4 + -3k = -2.9k + 19.4 Reorder the terms: 17.4 + -3k = 19.4 + -2.9k Solving 17.4 + -3k = 19.4 + -2.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.9k' to each side of the equation. 17.4 + -3k + 2.9k = 19.4 + -2.9k + 2.9k Combine like terms: -3k + 2.9k = -0.1k 17.4 + -0.1k = 19.4 + -2.9k + 2.9k Combine like terms: -2.9k + 2.9k = 0.0 17.4 + -0.1k = 19.4 + 0.0 17.4 + -0.1k = 19.4 Add '-17.4' to each side of the equation. 17.4 + -17.4 + -0.1k = 19.4 + -17.4 Combine like terms: 17.4 + -17.4 = 0.0 0.0 + -0.1k = 19.4 + -17.4 -0.1k = 19.4 + -17.4 Combine like terms: 19.4 + -17.4 = 2 -0.1k = 2 Divide each side by '-0.1'. k = -20 Simplifying k = -20
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