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Simplifying 7(2k + 5) + 28 = 49 Reorder the terms: 7(5 + 2k) + 28 = 49 (5 * 7 + 2k * 7) + 28 = 49 (35 + 14k) + 28 = 49 Reorder the terms: 35 + 28 + 14k = 49 Combine like terms: 35 + 28 = 63 63 + 14k = 49 Solving 63 + 14k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 14k = 49 + -63 Combine like terms: 63 + -63 = 0 0 + 14k = 49 + -63 14k = 49 + -63 Combine like terms: 49 + -63 = -14 14k = -14 Divide each side by '14'. k = -1 Simplifying k = -1
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