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Simplifying 2d + d + 8 = 3d + 2d + -4 Reorder the terms: 8 + 2d + d = 3d + 2d + -4 Combine like terms: 2d + d = 3d 8 + 3d = 3d + 2d + -4 Reorder the terms: 8 + 3d = -4 + 3d + 2d Combine like terms: 3d + 2d = 5d 8 + 3d = -4 + 5d Solving 8 + 3d = -4 + 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 = -4 + 5d + -5d Combine like terms: 3d + -5d = -2d 8 + -2d = -4 + 5d + -5d Combine like terms: 5d + -5d = 0 8 + -2d = -4 + 0 8 + -2d = -4 Add '-8' to each side of the equation. 8 + -8 + -2d = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2d = -4 + -8 -2d = -4 + -8 Combine like terms: -4 + -8 = -12 -2d = -12 Divide each side by '-2'. d = 6 Simplifying d = 6
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