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Simplifying 7d + 5 = 3d + 12 Reorder the terms: 5 + 7d = 3d + 12 Reorder the terms: 5 + 7d = 12 + 3d Solving 5 + 7d = 12 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 5 + 7d + -3d = 12 + 3d + -3d Combine like terms: 7d + -3d = 4d 5 + 4d = 12 + 3d + -3d Combine like terms: 3d + -3d = 0 5 + 4d = 12 + 0 5 + 4d = 12 Add '-5' to each side of the equation. 5 + -5 + 4d = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 4d = 12 + -5 4d = 12 + -5 Combine like terms: 12 + -5 = 7 4d = 7 Divide each side by '4'. d = 1.75 Simplifying d = 1.75
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