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Simplifying -20 + -8.2k = 5.8k + 19.2 Reorder the terms: -20 + -8.2k = 19.2 + 5.8k Solving -20 + -8.2k = 19.2 + 5.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.8k' to each side of the equation. -20 + -8.2k + -5.8k = 19.2 + 5.8k + -5.8k Combine like terms: -8.2k + -5.8k = -14k -20 + -14k = 19.2 + 5.8k + -5.8k Combine like terms: 5.8k + -5.8k = 0.0 -20 + -14k = 19.2 + 0.0 -20 + -14k = 19.2 Add '20' to each side of the equation. -20 + 20 + -14k = 19.2 + 20 Combine like terms: -20 + 20 = 0 0 + -14k = 19.2 + 20 -14k = 19.2 + 20 Combine like terms: 19.2 + 20 = 39.2 -14k = 39.2 Divide each side by '-14'. k = -2.8 Simplifying k = -2.8
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