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Simplifying k + 2k + 15 = k + -1 Reorder the terms: 15 + k + 2k = k + -1 Combine like terms: k + 2k = 3k 15 + 3k = k + -1 Reorder the terms: 15 + 3k = -1 + k Solving 15 + 3k = -1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 15 + 3k + -1k = -1 + k + -1k Combine like terms: 3k + -1k = 2k 15 + 2k = -1 + k + -1k Combine like terms: k + -1k = 0 15 + 2k = -1 + 0 15 + 2k = -1 Add '-15' to each side of the equation. 15 + -15 + 2k = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 2k = -1 + -15 2k = -1 + -15 Combine like terms: -1 + -15 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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