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Simplifying 2(k + 1) + -1k = -2 + 9 Reorder the terms: 2(1 + k) + -1k = -2 + 9 (1 * 2 + k * 2) + -1k = -2 + 9 (2 + 2k) + -1k = -2 + 9 Combine like terms: 2k + -1k = 1k 2 + 1k = -2 + 9 Combine like terms: -2 + 9 = 7 2 + 1k = 7 Solving 2 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1k = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 7 + -2 1k = 7 + -2 Combine like terms: 7 + -2 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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