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Simplifying 14.2k + -25.2 = 3.8k + 26.8 Reorder the terms: -25.2 + 14.2k = 3.8k + 26.8 Reorder the terms: -25.2 + 14.2k = 26.8 + 3.8k Solving -25.2 + 14.2k = 26.8 + 3.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.8k' to each side of the equation. -25.2 + 14.2k + -3.8k = 26.8 + 3.8k + -3.8k Combine like terms: 14.2k + -3.8k = 10.4k -25.2 + 10.4k = 26.8 + 3.8k + -3.8k Combine like terms: 3.8k + -3.8k = 0.0 -25.2 + 10.4k = 26.8 + 0.0 -25.2 + 10.4k = 26.8 Add '25.2' to each side of the equation. -25.2 + 25.2 + 10.4k = 26.8 + 25.2 Combine like terms: -25.2 + 25.2 = 0.0 0.0 + 10.4k = 26.8 + 25.2 10.4k = 26.8 + 25.2 Combine like terms: 26.8 + 25.2 = 52 10.4k = 52 Divide each side by '10.4'. k = 5 Simplifying k = 5
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