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