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