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Simplifying 2k + 6 + 4k + 2 + 2k + 6 + 4k + 2 = 0 Reorder the terms: 6 + 2 + 6 + 2 + 2k + 4k + 2k + 4k = 0 Combine like terms: 6 + 2 = 8 8 + 6 + 2 + 2k + 4k + 2k + 4k = 0 Combine like terms: 8 + 6 = 14 14 + 2 + 2k + 4k + 2k + 4k = 0 Combine like terms: 14 + 2 = 16 16 + 2k + 4k + 2k + 4k = 0 Combine like terms: 2k + 4k = 6k 16 + 6k + 2k + 4k = 0 Combine like terms: 6k + 2k = 8k 16 + 8k + 4k = 0 Combine like terms: 8k + 4k = 12k 16 + 12k = 0 Solving 16 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 12k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 12k = 0 + -16 12k = 0 + -16 Combine like terms: 0 + -16 = -16 12k = -16 Divide each side by '12'. k = -1.333333333 Simplifying k = -1.333333333
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