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Simplifying 2d + 1 = 3d + 5 Reorder the terms: 1 + 2d = 3d + 5 Reorder the terms: 1 + 2d = 5 + 3d Solving 1 + 2d = 5 + 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. 1 + 2d + -3d = 5 + 3d + -3d Combine like terms: 2d + -3d = -1d 1 + -1d = 5 + 3d + -3d Combine like terms: 3d + -3d = 0 1 + -1d = 5 + 0 1 + -1d = 5 Add '-1' to each side of the equation. 1 + -1 + -1d = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 5 + -1 -1d = 5 + -1 Combine like terms: 5 + -1 = 4 -1d = 4 Divide each side by '-1'. d = -4 Simplifying d = -4
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