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Simplifying 8k + 2k + 16 = 6k + 8k Reorder the terms: 16 + 8k + 2k = 6k + 8k Combine like terms: 8k + 2k = 10k 16 + 10k = 6k + 8k Combine like terms: 6k + 8k = 14k 16 + 10k = 14k Solving 16 + 10k = 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 16 + 10k + -14k = 14k + -14k Combine like terms: 10k + -14k = -4k 16 + -4k = 14k + -14k Combine like terms: 14k + -14k = 0 16 + -4k = 0 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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