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Simplifying 4(k + 5) = k + 8 Reorder the terms: 4(5 + k) = k + 8 (5 * 4 + k * 4) = k + 8 (20 + 4k) = k + 8 Reorder the terms: 20 + 4k = 8 + k Solving 20 + 4k = 8 + 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. 20 + 4k + -1k = 8 + k + -1k Combine like terms: 4k + -1k = 3k 20 + 3k = 8 + k + -1k Combine like terms: k + -1k = 0 20 + 3k = 8 + 0 20 + 3k = 8 Add '-20' to each side of the equation. 20 + -20 + 3k = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 3k = 8 + -20 3k = 8 + -20 Combine like terms: 8 + -20 = -12 3k = -12 Divide each side by '3'. k = -4 Simplifying k = -4
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