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