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Simplifying (-1.3k) + 19.96 = (-19.94) + -5.1k Reorder the terms: 19.96 + (-1.3k) = (-19.94) + -5.1k 19.96 + (-1.3k) = -19.94 + -5.1k Solving 19.96 + (-1.3k) = -19.94 + -5.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5.1k' to each side of the equation. 19.96 + (-1.3k) + 5.1k = -19.94 + -5.1k + 5.1k Combine like terms: (-1.3k) + 5.1k = 3.8k 19.96 + 3.8k = -19.94 + -5.1k + 5.1k Combine like terms: -5.1k + 5.1k = 0.0 19.96 + 3.8k = -19.94 + 0.0 19.96 + 3.8k = -19.94 Add '-19.96' to each side of the equation. 19.96 + -19.96 + 3.8k = -19.94 + -19.96 Combine like terms: 19.96 + -19.96 = 0.00 0.00 + 3.8k = -19.94 + -19.96 3.8k = -19.94 + -19.96 Combine like terms: -19.94 + -19.96 = -39.9 3.8k = -39.9 Divide each side by '3.8'. k = -10.5 Simplifying k = -10.5
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