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Simplifying 3(2k + 1) = 27 Reorder the terms: 3(1 + 2k) = 27 (1 * 3 + 2k * 3) = 27 (3 + 6k) = 27 Solving 3 + 6k = 27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6k = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6k = 27 + -3 6k = 27 + -3 Combine like terms: 27 + -3 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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