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Simplifying -11.82 + 0.8k = 2.9k + 18.42 Reorder the terms: -11.82 + 0.8k = 18.42 + 2.9k Solving -11.82 + 0.8k = 18.42 + 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. -11.82 + 0.8k + -2.9k = 18.42 + 2.9k + -2.9k Combine like terms: 0.8k + -2.9k = -2.1k -11.82 + -2.1k = 18.42 + 2.9k + -2.9k Combine like terms: 2.9k + -2.9k = 0.0 -11.82 + -2.1k = 18.42 + 0.0 -11.82 + -2.1k = 18.42 Add '11.82' to each side of the equation. -11.82 + 11.82 + -2.1k = 18.42 + 11.82 Combine like terms: -11.82 + 11.82 = 0.00 0.00 + -2.1k = 18.42 + 11.82 -2.1k = 18.42 + 11.82 Combine like terms: 18.42 + 11.82 = 30.24 -2.1k = 30.24 Divide each side by '-2.1'. k = -14.4 Simplifying k = -14.4
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