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Simplifying (3k + 2) * 2 = 49 Reorder the terms: (2 + 3k) * 2 = 49 Reorder the terms for easier multiplication: 2(2 + 3k) = 49 (2 * 2 + 3k * 2) = 49 (4 + 6k) = 49 Solving 4 + 6k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6k = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 49 + -4 6k = 49 + -4 Combine like terms: 49 + -4 = 45 6k = 45 Divide each side by '6'. k = 7.5 Simplifying k = 7.5
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