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Simplifying k + 2 = 9 + 2k Reorder the terms: 2 + k = 9 + 2k Solving 2 + k = 9 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 2 + k + -2k = 9 + 2k + -2k Combine like terms: k + -2k = -1k 2 + -1k = 9 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + -1k = 9 + 0 2 + -1k = 9 Add '-2' to each side of the equation. 2 + -2 + -1k = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 9 + -2 -1k = 9 + -2 Combine like terms: 9 + -2 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7
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