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Simplifying 4(k + 9) + -1k = 54 Reorder the terms: 4(9 + k) + -1k = 54 (9 * 4 + k * 4) + -1k = 54 (36 + 4k) + -1k = 54 Combine like terms: 4k + -1k = 3k 36 + 3k = 54 Solving 36 + 3k = 54 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 3k = 54 + -36 Combine like terms: 36 + -36 = 0 0 + 3k = 54 + -36 3k = 54 + -36 Combine like terms: 54 + -36 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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