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Simplifying 2 + 6k + 9 + -3k = k + 1 Reorder the terms: 2 + 9 + 6k + -3k = k + 1 Combine like terms: 2 + 9 = 11 11 + 6k + -3k = k + 1 Combine like terms: 6k + -3k = 3k 11 + 3k = k + 1 Reorder the terms: 11 + 3k = 1 + k Solving 11 + 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. 11 + 3k + -1k = 1 + k + -1k Combine like terms: 3k + -1k = 2k 11 + 2k = 1 + k + -1k Combine like terms: k + -1k = 0 11 + 2k = 1 + 0 11 + 2k = 1 Add '-11' to each side of the equation. 11 + -11 + 2k = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 2k = 1 + -11 2k = 1 + -11 Combine like terms: 1 + -11 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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