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Simplifying 45k + 27 = 54 + 6k Reorder the terms: 27 + 45k = 54 + 6k Solving 27 + 45k = 54 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 27 + 45k + -6k = 54 + 6k + -6k Combine like terms: 45k + -6k = 39k 27 + 39k = 54 + 6k + -6k Combine like terms: 6k + -6k = 0 27 + 39k = 54 + 0 27 + 39k = 54 Add '-27' to each side of the equation. 27 + -27 + 39k = 54 + -27 Combine like terms: 27 + -27 = 0 0 + 39k = 54 + -27 39k = 54 + -27 Combine like terms: 54 + -27 = 27 39k = 27 Divide each side by '39'. k = 0.6923076923 Simplifying k = 0.6923076923
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