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Simplifying 9d + 12 + -3d + 2 = 38 Reorder the terms: 12 + 2 + 9d + -3d = 38 Combine like terms: 12 + 2 = 14 14 + 9d + -3d = 38 Combine like terms: 9d + -3d = 6d 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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