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Simplifying 1 + 2k = k + -9 Reorder the terms: 1 + 2k = -9 + k Solving 1 + 2k = -9 + 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. 1 + 2k + -1k = -9 + k + -1k Combine like terms: 2k + -1k = 1k 1 + 1k = -9 + k + -1k Combine like terms: k + -1k = 0 1 + 1k = -9 + 0 1 + 1k = -9 Add '-1' to each side of the equation. 1 + -1 + 1k = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = -9 + -1 1k = -9 + -1 Combine like terms: -9 + -1 = -10 1k = -10 Divide each side by '1'. k = -10 Simplifying k = -10
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