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Simplifying 2(k + 3) + 7 = 23 Reorder the terms: 2(3 + k) + 7 = 23 (3 * 2 + k * 2) + 7 = 23 (6 + 2k) + 7 = 23 Reorder the terms: 6 + 7 + 2k = 23 Combine like terms: 6 + 7 = 13 13 + 2k = 23 Solving 13 + 2k = 23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2k = 23 + -13 Combine like terms: 13 + -13 = 0 0 + 2k = 23 + -13 2k = 23 + -13 Combine like terms: 23 + -13 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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