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Simplifying 31 = 8k + 3k Combine like terms: 8k + 3k = 11k 31 = 11k Solving 31 = 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. 31 + -11k = 11k + -11k Combine like terms: 11k + -11k = 0 31 + -11k = 0 Add '-31' to each side of the equation. 31 + -31 + -11k = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -11k = 0 + -31 -11k = 0 + -31 Combine like terms: 0 + -31 = -31 -11k = -31 Divide each side by '-11'. k = 2.818181818 Simplifying k = 2.818181818
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