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Simplifying 2d + 1 = 5d + 7 Reorder the terms: 1 + 2d = 5d + 7 Reorder the terms: 1 + 2d = 7 + 5d Solving 1 + 2d = 7 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 1 + 2d + -5d = 7 + 5d + -5d Combine like terms: 2d + -5d = -3d 1 + -3d = 7 + 5d + -5d Combine like terms: 5d + -5d = 0 1 + -3d = 7 + 0 1 + -3d = 7 Add '-1' to each side of the equation. 1 + -1 + -3d = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -3d = 7 + -1 -3d = 7 + -1 Combine like terms: 7 + -1 = 6 -3d = 6 Divide each side by '-3'. d = -2 Simplifying d = -2
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