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Simplifying (D + 7) + (2D + 14) + (3D) + (1D + 1) = 182 Reorder the terms: (7 + D) + (2D + 14) + (3D) + (1D + 1) = 182 Remove parenthesis around (7 + D) 7 + D + (2D + 14) + (3D) + (1D + 1) = 182 Reorder the terms: 7 + D + (14 + 2D) + (3D) + (1D + 1) = 182 Remove parenthesis around (14 + 2D) 7 + D + 14 + 2D + (3D) + (1D + 1) = 182 Reorder the terms: 7 + D + 14 + 2D + (3D) + (1 + 1D) = 182 Remove parenthesis around (1 + 1D) 7 + D + 14 + 2D + (3D) + 1 + 1D = 182 Reorder the terms: 7 + 14 + 1 + D + 2D + (3D) + 1D = 182 Combine like terms: 7 + 14 = 21 21 + 1 + D + 2D + (3D) + 1D = 182 Combine like terms: 21 + 1 = 22 22 + D + 2D + (3D) + 1D = 182 Combine like terms: D + 2D = 3D 22 + 3D + (3D) + 1D = 182 Combine like terms: 3D + (3D) = 6D 22 + 6D + 1D = 182 Combine like terms: 6D + 1D = 7D 22 + 7D = 182 Solving 22 + 7D = 182 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 7D = 182 + -22 Combine like terms: 22 + -22 = 0 0 + 7D = 182 + -22 7D = 182 + -22 Combine like terms: 182 + -22 = 160 7D = 160 Divide each side by '7'. D = 22.85714286 Simplifying D = 22.85714286
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