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Simplifying 10k + k + 8 + 27 = 95 + k Reorder the terms: 8 + 27 + 10k + k = 95 + k Combine like terms: 8 + 27 = 35 35 + 10k + k = 95 + k Combine like terms: 10k + k = 11k 35 + 11k = 95 + k Solving 35 + 11k = 95 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 35 + 11k + -1k = 95 + k + -1k Combine like terms: 11k + -1k = 10k 35 + 10k = 95 + k + -1k Combine like terms: k + -1k = 0 35 + 10k = 95 + 0 35 + 10k = 95 Add '-35' to each side of the equation. 35 + -35 + 10k = 95 + -35 Combine like terms: 35 + -35 = 0 0 + 10k = 95 + -35 10k = 95 + -35 Combine like terms: 95 + -35 = 60 10k = 60 Divide each side by '10'. k = 6 Simplifying k = 6
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