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Simplifying 13k + 9 = k + 17 Reorder the terms: 9 + 13k = k + 17 Reorder the terms: 9 + 13k = 17 + k Solving 9 + 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 + 13k + -1k = 17 + k + -1k Combine like terms: 13k + -1k = 12k 9 + 12k = 17 + k + -1k Combine like terms: k + -1k = 0 9 + 12k = 17 + 0 9 + 12k = 17 Add '-9' to each side of the equation. 9 + -9 + 12k = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 12k = 17 + -9 12k = 17 + -9 Combine like terms: 17 + -9 = 8 12k = 8 Divide each side by '12'. k = 0.6666666667 Simplifying k = 0.6666666667
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