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Simplifying 10d + 1 = 7d + 13 Reorder the terms: 1 + 10d = 7d + 13 Reorder the terms: 1 + 10d = 13 + 7d Solving 1 + 10d = 13 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 1 + 10d + -7d = 13 + 7d + -7d Combine like terms: 10d + -7d = 3d 1 + 3d = 13 + 7d + -7d Combine like terms: 7d + -7d = 0 1 + 3d = 13 + 0 1 + 3d = 13 Add '-1' to each side of the equation. 1 + -1 + 3d = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 13 + -1 3d = 13 + -1 Combine like terms: 13 + -1 = 12 3d = 12 Divide each side by '3'. d = 4 Simplifying d = 4
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