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Simplifying 2(3d + 7) = 38 Reorder the terms: 2(7 + 3d) = 38 (7 * 2 + 3d * 2) = 38 (14 + 6d) = 38 Solving 14 + 6d = 38 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6d = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 6d = 38 + -14 6d = 38 + -14 Combine like terms: 38 + -14 = 24 6d = 24 Divide each side by '6'. d = 4 Simplifying d = 4
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