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Simplifying 16 + 8k + k = 5k + 6k Combine like terms: 8k + k = 9k 16 + 9k = 5k + 6k Combine like terms: 5k + 6k = 11k 16 + 9k = 11k Solving 16 + 9k = 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. 16 + 9k + -11k = 11k + -11k Combine like terms: 9k + -11k = -2k 16 + -2k = 11k + -11k Combine like terms: 11k + -11k = 0 16 + -2k = 0 Add '-16' to each side of the equation. 16 + -16 + -2k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2k = 0 + -16 -2k = 0 + -16 Combine like terms: 0 + -16 = -16 -2k = -16 Divide each side by '-2'. k = 8 Simplifying k = 8
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