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Simplifying 8 + 1 + 8k + 6 = 6k + 5k Reorder the terms: 8 + 1 + 6 + 8k = 6k + 5k Combine like terms: 8 + 1 = 9 9 + 6 + 8k = 6k + 5k Combine like terms: 9 + 6 = 15 15 + 8k = 6k + 5k Combine like terms: 6k + 5k = 11k 15 + 8k = 11k Solving 15 + 8k = 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 15 + 8k + -11k = 11k + -11k Combine like terms: 8k + -11k = -3k 15 + -3k = 11k + -11k Combine like terms: 11k + -11k = 0 15 + -3k = 0 Add '-15' to each side of the equation. 15 + -15 + -3k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3k = 0 + -15 -3k = 0 + -15 Combine like terms: 0 + -15 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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