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Simplifying 8k + 8 + 9k = 3(2k + 5) Reorder the terms: 8 + 8k + 9k = 3(2k + 5) Combine like terms: 8k + 9k = 17k 8 + 17k = 3(2k + 5) Reorder the terms: 8 + 17k = 3(5 + 2k) 8 + 17k = (5 * 3 + 2k * 3) 8 + 17k = (15 + 6k) Solving 8 + 17k = 15 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 8 + 17k + -6k = 15 + 6k + -6k Combine like terms: 17k + -6k = 11k 8 + 11k = 15 + 6k + -6k Combine like terms: 6k + -6k = 0 8 + 11k = 15 + 0 8 + 11k = 15 Add '-8' to each side of the equation. 8 + -8 + 11k = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 11k = 15 + -8 11k = 15 + -8 Combine like terms: 15 + -8 = 7 11k = 7 Divide each side by '11'. k = 0.6363636364 Simplifying k = 0.6363636364
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