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Simplifying 7d + 7 = 4d + 13 Reorder the terms: 7 + 7d = 4d + 13 Reorder the terms: 7 + 7d = 13 + 4d Solving 7 + 7d = 13 + 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. 7 + 7d + -4d = 13 + 4d + -4d Combine like terms: 7d + -4d = 3d 7 + 3d = 13 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + 3d = 13 + 0 7 + 3d = 13 Add '-7' to each side of the equation. 7 + -7 + 3d = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 13 + -7 3d = 13 + -7 Combine like terms: 13 + -7 = 6 3d = 6 Divide each side by '3'. d = 2 Simplifying d = 2
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