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Simplifying d + 2(d + 1) + 3(d + 2) = 116 Reorder the terms: d + 2(1 + d) + 3(d + 2) = 116 d + (1 * 2 + d * 2) + 3(d + 2) = 116 d + (2 + 2d) + 3(d + 2) = 116 Reorder the terms: d + 2 + 2d + 3(2 + d) = 116 d + 2 + 2d + (2 * 3 + d * 3) = 116 d + 2 + 2d + (6 + 3d) = 116 Reorder the terms: 2 + 6 + d + 2d + 3d = 116 Combine like terms: 2 + 6 = 8 8 + d + 2d + 3d = 116 Combine like terms: d + 2d = 3d 8 + 3d + 3d = 116 Combine like terms: 3d + 3d = 6d 8 + 6d = 116 Solving 8 + 6d = 116 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 + 6d = 116 + -8 Combine like terms: 8 + -8 = 0 0 + 6d = 116 + -8 6d = 116 + -8 Combine like terms: 116 + -8 = 108 6d = 108 Divide each side by '6'. d = 18 Simplifying d = 18
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