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Simplifying 4k + -27 + 5k = 81 Reorder the terms: -27 + 4k + 5k = 81 Combine like terms: 4k + 5k = 9k -27 + 9k = 81 Solving -27 + 9k = 81 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 9k = 81 + 27 Combine like terms: -27 + 27 = 0 0 + 9k = 81 + 27 9k = 81 + 27 Combine like terms: 81 + 27 = 108 9k = 108 Divide each side by '9'. k = 12 Simplifying k = 12
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