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Simplifying 11d + -7d + 3D + -4d + -2d + 1 = 18 Reorder the terms: 1 + 3D + 11d + -7d + -4d + -2d = 18 Combine like terms: 11d + -7d = 4d 1 + 3D + 4d + -4d + -2d = 18 Combine like terms: 4d + -4d = 0 1 + 3D + 0 + -2d = 18 1 + 3D + -2d = 18 Solving 1 + 3D + -2d = 18 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3D + -1 + -2d = 18 + -1 Reorder the terms: 1 + -1 + 3D + -2d = 18 + -1 Combine like terms: 1 + -1 = 0 0 + 3D + -2d = 18 + -1 3D + -2d = 18 + -1 Combine like terms: 18 + -1 = 17 3D + -2d = 17 Add '2d' to each side of the equation. 3D + -2d + 2d = 17 + 2d Combine like terms: -2d + 2d = 0 3D + 0 = 17 + 2d 3D = 17 + 2d Divide each side by '3'. D = 5.666666667 + 0.6666666667d Simplifying D = 5.666666667 + 0.6666666667d
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