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Simplifying 4(k + 1) + -1k = 24 Reorder the terms: 4(1 + k) + -1k = 24 (1 * 4 + k * 4) + -1k = 24 (4 + 4k) + -1k = 24 Combine like terms: 4k + -1k = 3k 4 + 3k = 24 Solving 4 + 3k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3k = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 24 + -4 3k = 24 + -4 Combine like terms: 24 + -4 = 20 3k = 20 Divide each side by '3'. k = 6.666666667 Simplifying k = 6.666666667
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