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Simplifying 5 + 9k + 1 + k + 2(7 + k) = 0 5 + 9k + 1 + k + (7 * 2 + k * 2) = 0 5 + 9k + 1 + k + (14 + 2k) = 0 Reorder the terms: 5 + 1 + 14 + 9k + k + 2k = 0 Combine like terms: 5 + 1 = 6 6 + 14 + 9k + k + 2k = 0 Combine like terms: 6 + 14 = 20 20 + 9k + k + 2k = 0 Combine like terms: 9k + k = 10k 20 + 10k + 2k = 0 Combine like terms: 10k + 2k = 12k 20 + 12k = 0 Solving 20 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 12k = 0 + -20 12k = 0 + -20 Combine like terms: 0 + -20 = -20 12k = -20 Divide each side by '12'. k = -1.666666667 Simplifying k = -1.666666667
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