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Simplifying d + 7 + d + (2(7 + d)) + 3d + (7 + d) + -6 = 182 d + 7 + d + ((7 * 2 + d * 2)) + 3d + (7 + d) + -6 = 182 d + 7 + d + ((14 + 2d)) + 3d + (7 + d) + -6 = 182 d + 7 + d + (14 + 2d) + 3d + (7 + d) + -6 = 182 Remove parenthesis around (14 + 2d) d + 7 + d + 14 + 2d + 3d + (7 + d) + -6 = 182 Remove parenthesis around (7 + d) d + 7 + d + 14 + 2d + 3d + 7 + d + -6 = 182 Reorder the terms: 7 + 14 + 7 + -6 + d + d + 2d + 3d + d = 182 Combine like terms: 7 + 14 = 21 21 + 7 + -6 + d + d + 2d + 3d + d = 182 Combine like terms: 21 + 7 = 28 28 + -6 + d + d + 2d + 3d + d = 182 Combine like terms: 28 + -6 = 22 22 + d + d + 2d + 3d + d = 182 Combine like terms: d + d = 2d 22 + 2d + 2d + 3d + d = 182 Combine like terms: 2d + 2d = 4d 22 + 4d + 3d + d = 182 Combine like terms: 4d + 3d = 7d 22 + 7d + d = 182 Combine like terms: 7d + d = 8d 22 + 8d = 182 Solving 22 + 8d = 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 + 8d = 182 + -22 Combine like terms: 22 + -22 = 0 0 + 8d = 182 + -22 8d = 182 + -22 Combine like terms: 182 + -22 = 160 8d = 160 Divide each side by '8'. d = 20 Simplifying d = 20
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