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Simplifying 3d + 5 = 77 + -9d Reorder the terms: 5 + 3d = 77 + -9d Solving 5 + 3d = 77 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. 5 + 3d + 9d = 77 + -9d + 9d Combine like terms: 3d + 9d = 12d 5 + 12d = 77 + -9d + 9d Combine like terms: -9d + 9d = 0 5 + 12d = 77 + 0 5 + 12d = 77 Add '-5' to each side of the equation. 5 + -5 + 12d = 77 + -5 Combine like terms: 5 + -5 = 0 0 + 12d = 77 + -5 12d = 77 + -5 Combine like terms: 77 + -5 = 72 12d = 72 Divide each side by '12'. d = 6 Simplifying d = 6
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