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Simplifying 2(k + 19) + 6 = 96 Reorder the terms: 2(19 + k) + 6 = 96 (19 * 2 + k * 2) + 6 = 96 (38 + 2k) + 6 = 96 Reorder the terms: 38 + 6 + 2k = 96 Combine like terms: 38 + 6 = 44 44 + 2k = 96 Solving 44 + 2k = 96 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 2k = 96 + -44 Combine like terms: 44 + -44 = 0 0 + 2k = 96 + -44 2k = 96 + -44 Combine like terms: 96 + -44 = 52 2k = 52 Divide each side by '2'. k = 26 Simplifying k = 26
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