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Simplifying 21 = 3(k + 8) Reorder the terms: 21 = 3(8 + k) 21 = (8 * 3 + k * 3) 21 = (24 + 3k) Solving 21 = 24 + 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. 21 + -3k = 24 + 3k + -3k Combine like terms: 3k + -3k = 0 21 + -3k = 24 + 0 21 + -3k = 24 Add '-21' to each side of the equation. 21 + -21 + -3k = 24 + -21 Combine like terms: 21 + -21 = 0 0 + -3k = 24 + -21 -3k = 24 + -21 Combine like terms: 24 + -21 = 3 -3k = 3 Divide each side by '-3'. k = -1 Simplifying k = -1
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