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Simplifying 1 + 8k + k = 6 + 7 + 3k Combine like terms: 8k + k = 9k 1 + 9k = 6 + 7 + 3k Combine like terms: 6 + 7 = 13 1 + 9k = 13 + 3k Solving 1 + 9k = 13 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 1 + 9k + -3k = 13 + 3k + -3k Combine like terms: 9k + -3k = 6k 1 + 6k = 13 + 3k + -3k Combine like terms: 3k + -3k = 0 1 + 6k = 13 + 0 1 + 6k = 13 Add '-1' to each side of the equation. 1 + -1 + 6k = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6k = 13 + -1 6k = 13 + -1 Combine like terms: 13 + -1 = 12 6k = 12 Divide each side by '6'. k = 2 Simplifying k = 2
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