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Simplifying 7d + -3 + 2d = 5d + -8d + 1 Reorder the terms: -3 + 7d + 2d = 5d + -8d + 1 Combine like terms: 7d + 2d = 9d -3 + 9d = 5d + -8d + 1 Reorder the terms: -3 + 9d = 1 + 5d + -8d Combine like terms: 5d + -8d = -3d -3 + 9d = 1 + -3d Solving -3 + 9d = 1 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -3 + 9d + 3d = 1 + -3d + 3d Combine like terms: 9d + 3d = 12d -3 + 12d = 1 + -3d + 3d Combine like terms: -3d + 3d = 0 -3 + 12d = 1 + 0 -3 + 12d = 1 Add '3' to each side of the equation. -3 + 3 + 12d = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 12d = 1 + 3 12d = 1 + 3 Combine like terms: 1 + 3 = 4 12d = 4 Divide each side by '12'. d = 0.3333333333 Simplifying d = 0.3333333333
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