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Simplifying 12k + 8.5 = k + 11 Reorder the terms: 8.5 + 12k = k + 11 Reorder the terms: 8.5 + 12k = 11 + k Solving 8.5 + 12k = 11 + 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. 8.5 + 12k + -1k = 11 + k + -1k Combine like terms: 12k + -1k = 11k 8.5 + 11k = 11 + k + -1k Combine like terms: k + -1k = 0 8.5 + 11k = 11 + 0 8.5 + 11k = 11 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 11k = 11 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 11k = 11 + -8.5 11k = 11 + -8.5 Combine like terms: 11 + -8.5 = 2.5 11k = 2.5 Divide each side by '11'. k = 0.2272727273 Simplifying k = 0.2272727273
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