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Simplifying 4(k + 2) = k Reorder the terms: 4(2 + k) = k (2 * 4 + k * 4) = k (8 + 4k) = k Solving 8 + 4k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 8 + 4k + -1k = k + -1k Combine like terms: 4k + -1k = 3k 8 + 3k = k + -1k Combine like terms: k + -1k = 0 8 + 3k = 0 Add '-8' to each side of the equation. 8 + -8 + 3k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = 0 + -8 3k = 0 + -8 Combine like terms: 0 + -8 = -8 3k = -8 Divide each side by '3'. k = -2.666666667 Simplifying k = -2.666666667
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