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Simplifying 3d + 8 = 9d + -2(2d + -1) Reorder the terms: 8 + 3d = 9d + -2(2d + -1) Reorder the terms: 8 + 3d = 9d + -2(-1 + 2d) 8 + 3d = 9d + (-1 * -2 + 2d * -2) 8 + 3d = 9d + (2 + -4d) Reorder the terms: 8 + 3d = 2 + 9d + -4d Combine like terms: 9d + -4d = 5d 8 + 3d = 2 + 5d Solving 8 + 3d = 2 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 8 + 3d + -5d = 2 + 5d + -5d Combine like terms: 3d + -5d = -2d 8 + -2d = 2 + 5d + -5d Combine like terms: 5d + -5d = 0 8 + -2d = 2 + 0 8 + -2d = 2 Add '-8' to each side of the equation. 8 + -8 + -2d = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2d = 2 + -8 -2d = 2 + -8 Combine like terms: 2 + -8 = -6 -2d = -6 Divide each side by '-2'. d = 3 Simplifying d = 3
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