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