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Simplifying 2d + 2 + 3d + 6 = 23 Reorder the terms: 2 + 6 + 2d + 3d = 23 Combine like terms: 2 + 6 = 8 8 + 2d + 3d = 23 Combine like terms: 2d + 3d = 5d 8 + 5d = 23 Solving 8 + 5d = 23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5d = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 5d = 23 + -8 5d = 23 + -8 Combine like terms: 23 + -8 = 15 5d = 15 Divide each side by '5'. d = 3 Simplifying d = 3
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