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Simplifying 45k + 27 = 54 + 9k Reorder the terms: 27 + 45k = 54 + 9k Solving 27 + 45k = 54 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 27 + 45k + -9k = 54 + 9k + -9k Combine like terms: 45k + -9k = 36k 27 + 36k = 54 + 9k + -9k Combine like terms: 9k + -9k = 0 27 + 36k = 54 + 0 27 + 36k = 54 Add '-27' to each side of the equation. 27 + -27 + 36k = 54 + -27 Combine like terms: 27 + -27 = 0 0 + 36k = 54 + -27 36k = 54 + -27 Combine like terms: 54 + -27 = 27 36k = 27 Divide each side by '36'. k = 0.75 Simplifying k = 0.75
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