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Simplifying 2d + 1 = 3d + 7 Reorder the terms: 1 + 2d = 3d + 7 Reorder the terms: 1 + 2d = 7 + 3d Solving 1 + 2d = 7 + 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 = 7 + 3d + -3d Combine like terms: 2d + -3d = -1d 1 + -1d = 7 + 3d + -3d Combine like terms: 3d + -3d = 0 1 + -1d = 7 + 0 1 + -1d = 7 Add '-1' to each side of the equation. 1 + -1 + -1d = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 7 + -1 -1d = 7 + -1 Combine like terms: 7 + -1 = 6 -1d = 6 Divide each side by '-1'. d = -6 Simplifying d = -6
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