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Simplifying 3d + 8 + -1d = 5d + -7 Reorder the terms: 8 + 3d + -1d = 5d + -7 Combine like terms: 3d + -1d = 2d 8 + 2d = 5d + -7 Reorder the terms: 8 + 2d = -7 + 5d Solving 8 + 2d = -7 + 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 + 2d + -5d = -7 + 5d + -5d Combine like terms: 2d + -5d = -3d 8 + -3d = -7 + 5d + -5d Combine like terms: 5d + -5d = 0 8 + -3d = -7 + 0 8 + -3d = -7 Add '-8' to each side of the equation. 8 + -8 + -3d = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3d = -7 + -8 -3d = -7 + -8 Combine like terms: -7 + -8 = -15 -3d = -15 Divide each side by '-3'. d = 5 Simplifying d = 5
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