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Simplifying 10d + 1 = 3d + 78 Reorder the terms: 1 + 10d = 3d + 78 Reorder the terms: 1 + 10d = 78 + 3d Solving 1 + 10d = 78 + 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. 1 + 10d + -3d = 78 + 3d + -3d Combine like terms: 10d + -3d = 7d 1 + 7d = 78 + 3d + -3d Combine like terms: 3d + -3d = 0 1 + 7d = 78 + 0 1 + 7d = 78 Add '-1' to each side of the equation. 1 + -1 + 7d = 78 + -1 Combine like terms: 1 + -1 = 0 0 + 7d = 78 + -1 7d = 78 + -1 Combine like terms: 78 + -1 = 77 7d = 77 Divide each side by '7'. d = 11 Simplifying d = 11
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