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Simplifying 5d + 7 = 23 + 3d Reorder the terms: 7 + 5d = 23 + 3d Solving 7 + 5d = 23 + 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. 7 + 5d + -3d = 23 + 3d + -3d Combine like terms: 5d + -3d = 2d 7 + 2d = 23 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + 2d = 23 + 0 7 + 2d = 23 Add '-7' to each side of the equation. 7 + -7 + 2d = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 23 + -7 2d = 23 + -7 Combine like terms: 23 + -7 = 16 2d = 16 Divide each side by '2'. d = 8 Simplifying d = 8
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