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Simplifying 7(2k + 7) = 28 + 49 Reorder the terms: 7(7 + 2k) = 28 + 49 (7 * 7 + 2k * 7) = 28 + 49 (49 + 14k) = 28 + 49 Combine like terms: 28 + 49 = 77 49 + 14k = 77 Solving 49 + 14k = 77 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 14k = 77 + -49 Combine like terms: 49 + -49 = 0 0 + 14k = 77 + -49 14k = 77 + -49 Combine like terms: 77 + -49 = 28 14k = 28 Divide each side by '14'. k = 2 Simplifying k = 2
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