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Simplifying 2(k + 5) + 3 + -1k = 0 Reorder the terms: 2(5 + k) + 3 + -1k = 0 (5 * 2 + k * 2) + 3 + -1k = 0 (10 + 2k) + 3 + -1k = 0 Reorder the terms: 10 + 3 + 2k + -1k = 0 Combine like terms: 10 + 3 = 13 13 + 2k + -1k = 0 Combine like terms: 2k + -1k = 1k 13 + 1k = 0 Solving 13 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1k = 0 + -13 1k = 0 + -13 Combine like terms: 0 + -13 = -13 1k = -13 Divide each side by '1'. k = -13 Simplifying k = -13
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