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Simplifying 13k + 9.5 = k + 17 Reorder the terms: 9.5 + 13k = k + 17 Reorder the terms: 9.5 + 13k = 17 + k Solving 9.5 + 13k = 17 + 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. 9.5 + 13k + -1k = 17 + k + -1k Combine like terms: 13k + -1k = 12k 9.5 + 12k = 17 + k + -1k Combine like terms: k + -1k = 0 9.5 + 12k = 17 + 0 9.5 + 12k = 17 Add '-9.5' to each side of the equation. 9.5 + -9.5 + 12k = 17 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 12k = 17 + -9.5 12k = 17 + -9.5 Combine like terms: 17 + -9.5 = 7.5 12k = 7.5 Divide each side by '12'. k = 0.625 Simplifying k = 0.625
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