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Simplifying 10k + 9.5 = k + 13 Reorder the terms: 9.5 + 10k = k + 13 Reorder the terms: 9.5 + 10k = 13 + k Solving 9.5 + 10k = 13 + 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 + 10k + -1k = 13 + k + -1k Combine like terms: 10k + -1k = 9k 9.5 + 9k = 13 + k + -1k Combine like terms: k + -1k = 0 9.5 + 9k = 13 + 0 9.5 + 9k = 13 Add '-9.5' to each side of the equation. 9.5 + -9.5 + 9k = 13 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 9k = 13 + -9.5 9k = 13 + -9.5 Combine like terms: 13 + -9.5 = 3.5 9k = 3.5 Divide each side by '9'. k = 0.3888888889 Simplifying k = 0.3888888889
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