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Simplifying 3d + -5 + 2d = 4d + 1 Reorder the terms: -5 + 3d + 2d = 4d + 1 Combine like terms: 3d + 2d = 5d -5 + 5d = 4d + 1 Reorder the terms: -5 + 5d = 1 + 4d Solving -5 + 5d = 1 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -5 + 5d + -4d = 1 + 4d + -4d Combine like terms: 5d + -4d = 1d -5 + 1d = 1 + 4d + -4d Combine like terms: 4d + -4d = 0 -5 + 1d = 1 + 0 -5 + 1d = 1 Add '5' to each side of the equation. -5 + 5 + 1d = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1d = 1 + 5 1d = 1 + 5 Combine like terms: 1 + 5 = 6 1d = 6 Divide each side by '1'. d = 6 Simplifying d = 6
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