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Simplifying k + 9 = 2k + 1 Reorder the terms: 9 + k = 2k + 1 Reorder the terms: 9 + k = 1 + 2k Solving 9 + k = 1 + 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. 9 + k + -2k = 1 + 2k + -2k Combine like terms: k + -2k = -1k 9 + -1k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 9 + -1k = 1 + 0 9 + -1k = 1 Add '-9' to each side of the equation. 9 + -9 + -1k = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 1 + -9 -1k = 1 + -9 Combine like terms: 1 + -9 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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