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Simplifying 3(k + 7) = k + 29 Reorder the terms: 3(7 + k) = k + 29 (7 * 3 + k * 3) = k + 29 (21 + 3k) = k + 29 Reorder the terms: 21 + 3k = 29 + k Solving 21 + 3k = 29 + 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. 21 + 3k + -1k = 29 + k + -1k Combine like terms: 3k + -1k = 2k 21 + 2k = 29 + k + -1k Combine like terms: k + -1k = 0 21 + 2k = 29 + 0 21 + 2k = 29 Add '-21' to each side of the equation. 21 + -21 + 2k = 29 + -21 Combine like terms: 21 + -21 = 0 0 + 2k = 29 + -21 2k = 29 + -21 Combine like terms: 29 + -21 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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