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Simplifying 8k + 1 = 17 + 2k Reorder the terms: 1 + 8k = 17 + 2k Solving 1 + 8k = 17 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 1 + 8k + -2k = 17 + 2k + -2k Combine like terms: 8k + -2k = 6k 1 + 6k = 17 + 2k + -2k Combine like terms: 2k + -2k = 0 1 + 6k = 17 + 0 1 + 6k = 17 Add '-1' to each side of the equation. 1 + -1 + 6k = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 6k = 17 + -1 6k = 17 + -1 Combine like terms: 17 + -1 = 16 6k = 16 Divide each side by '6'. k = 2.666666667 Simplifying k = 2.666666667
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