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Simplifying 5k + 6(k + 2) + k = 0 Reorder the terms: 5k + 6(2 + k) + k = 0 5k + (2 * 6 + k * 6) + k = 0 5k + (12 + 6k) + k = 0 Reorder the terms: 12 + 5k + 6k + k = 0 Combine like terms: 5k + 6k = 11k 12 + 11k + k = 0 Combine like terms: 11k + k = 12k 12 + 12k = 0 Solving 12 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12k = 0 + -12 12k = 0 + -12 Combine like terms: 0 + -12 = -12 12k = -12 Divide each side by '12'. k = -1 Simplifying k = -1
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