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Simplifying 14k + 8.5 = k + 15 Reorder the terms: 8.5 + 14k = k + 15 Reorder the terms: 8.5 + 14k = 15 + k Solving 8.5 + 14k = 15 + 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 + 14k + -1k = 15 + k + -1k Combine like terms: 14k + -1k = 13k 8.5 + 13k = 15 + k + -1k Combine like terms: k + -1k = 0 8.5 + 13k = 15 + 0 8.5 + 13k = 15 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 13k = 15 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 13k = 15 + -8.5 13k = 15 + -8.5 Combine like terms: 15 + -8.5 = 6.5 13k = 6.5 Divide each side by '13'. k = 0.5 Simplifying k = 0.5
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