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Simplifying -100k + 3 + 101k = -245 + -181k Reorder the terms: 3 + -100k + 101k = -245 + -181k Combine like terms: -100k + 101k = 1k 3 + 1k = -245 + -181k Solving 3 + 1k = -245 + -181k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '181k' to each side of the equation. 3 + 1k + 181k = -245 + -181k + 181k Combine like terms: 1k + 181k = 182k 3 + 182k = -245 + -181k + 181k Combine like terms: -181k + 181k = 0 3 + 182k = -245 + 0 3 + 182k = -245 Add '-3' to each side of the equation. 3 + -3 + 182k = -245 + -3 Combine like terms: 3 + -3 = 0 0 + 182k = -245 + -3 182k = -245 + -3 Combine like terms: -245 + -3 = -248 182k = -248 Divide each side by '182'. k = -1.362637363 Simplifying k = -1.362637363
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