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Simplifying 12k + -10k + 1 = 15 Reorder the terms: 1 + 12k + -10k = 15 Combine like terms: 12k + -10k = 2k 1 + 2k = 15 Solving 1 + 2k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2k = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 15 + -1 2k = 15 + -1 Combine like terms: 15 + -1 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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