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Simplifying 2k + 8k + -6k + 16 = 0 Reorder the terms: 16 + 2k + 8k + -6k = 0 Combine like terms: 2k + 8k = 10k 16 + 10k + -6k = 0 Combine like terms: 10k + -6k = 4k 16 + 4k = 0 Solving 16 + 4k = 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 + 4k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4k = 0 + -16 4k = 0 + -16 Combine like terms: 0 + -16 = -16 4k = -16 Divide each side by '4'. k = -4 Simplifying k = -4
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