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Simplifying -3.8k + -18.53 = -1.3k + 19.97 Reorder the terms: -18.53 + -3.8k = -1.3k + 19.97 Reorder the terms: -18.53 + -3.8k = 19.97 + -1.3k Solving -18.53 + -3.8k = 19.97 + -1.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.3k' to each side of the equation. -18.53 + -3.8k + 1.3k = 19.97 + -1.3k + 1.3k Combine like terms: -3.8k + 1.3k = -2.5k -18.53 + -2.5k = 19.97 + -1.3k + 1.3k Combine like terms: -1.3k + 1.3k = 0.0 -18.53 + -2.5k = 19.97 + 0.0 -18.53 + -2.5k = 19.97 Add '18.53' to each side of the equation. -18.53 + 18.53 + -2.5k = 19.97 + 18.53 Combine like terms: -18.53 + 18.53 = 0.00 0.00 + -2.5k = 19.97 + 18.53 -2.5k = 19.97 + 18.53 Combine like terms: 19.97 + 18.53 = 38.5 -2.5k = 38.5 Divide each side by '-2.5'. k = -15.4 Simplifying k = -15.4
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