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Simplifying 2(3d + 1) + d = 23 Reorder the terms: 2(1 + 3d) + d = 23 (1 * 2 + 3d * 2) + d = 23 (2 + 6d) + d = 23 Combine like terms: 6d + d = 7d 2 + 7d = 23 Solving 2 + 7d = 23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7d = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7d = 23 + -2 7d = 23 + -2 Combine like terms: 23 + -2 = 21 7d = 21 Divide each side by '7'. d = 3 Simplifying d = 3
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