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Simplifying 4d + 9 + -1d + -8 = d Reorder the terms: 9 + -8 + 4d + -1d = d Combine like terms: 9 + -8 = 1 1 + 4d + -1d = d Combine like terms: 4d + -1d = 3d 1 + 3d = d Solving 1 + 3d = d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 1 + 3d + -1d = d + -1d Combine like terms: 3d + -1d = 2d 1 + 2d = d + -1d Combine like terms: d + -1d = 0 1 + 2d = 0 Add '-1' to each side of the equation. 1 + -1 + 2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2d = 0 + -1 2d = 0 + -1 Combine like terms: 0 + -1 = -1 2d = -1 Divide each side by '2'. d = -0.5 Simplifying d = -0.5
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