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Simplifying 14k + 6.5 = k + 16 Reorder the terms: 6.5 + 14k = k + 16 Reorder the terms: 6.5 + 14k = 16 + k Solving 6.5 + 14k = 16 + 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. 6.5 + 14k + -1k = 16 + k + -1k Combine like terms: 14k + -1k = 13k 6.5 + 13k = 16 + k + -1k Combine like terms: k + -1k = 0 6.5 + 13k = 16 + 0 6.5 + 13k = 16 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 13k = 16 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 13k = 16 + -6.5 13k = 16 + -6.5 Combine like terms: 16 + -6.5 = 9.5 13k = 9.5 Divide each side by '13'. k = 0.7307692308 Simplifying k = 0.7307692308
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