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Simplifying 7d + 1 = 4d + 22 Reorder the terms: 1 + 7d = 4d + 22 Reorder the terms: 1 + 7d = 22 + 4d Solving 1 + 7d = 22 + 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. 1 + 7d + -4d = 22 + 4d + -4d Combine like terms: 7d + -4d = 3d 1 + 3d = 22 + 4d + -4d Combine like terms: 4d + -4d = 0 1 + 3d = 22 + 0 1 + 3d = 22 Add '-1' to each side of the equation. 1 + -1 + 3d = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 22 + -1 3d = 22 + -1 Combine like terms: 22 + -1 = 21 3d = 21 Divide each side by '3'. d = 7 Simplifying d = 7
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