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Simplifying 1d(1d + -1) + 4d = 1d(1d + -8) Reorder the terms: 1d(-1 + 1d) + 4d = 1d(1d + -8) (-1 * 1d + 1d * 1d) + 4d = 1d(1d + -8) (-1d + 1d2) + 4d = 1d(1d + -8) Reorder the terms: -1d + 4d + 1d2 = 1d(1d + -8) Combine like terms: -1d + 4d = 3d 3d + 1d2 = 1d(1d + -8) Reorder the terms: 3d + 1d2 = 1d(-8 + 1d) 3d + 1d2 = (-8 * 1d + 1d * 1d) 3d + 1d2 = (-8d + 1d2) Add '-1d2' to each side of the equation. 3d + 1d2 + -1d2 = -8d + 1d2 + -1d2 Combine like terms: 1d2 + -1d2 = 0 3d + 0 = -8d + 1d2 + -1d2 3d = -8d + 1d2 + -1d2 Combine like terms: 1d2 + -1d2 = 0 3d = -8d + 0 3d = -8d Solving 3d = -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 3d + 8d = -8d + 8d Combine like terms: 3d + 8d = 11d 11d = -8d + 8d Combine like terms: -8d + 8d = 0 11d = 0 Divide each side by '11'. d = 0 Simplifying d = 0
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