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Simplifying 7d + 6 = 3d + 30 Reorder the terms: 6 + 7d = 3d + 30 Reorder the terms: 6 + 7d = 30 + 3d Solving 6 + 7d = 30 + 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. 6 + 7d + -3d = 30 + 3d + -3d Combine like terms: 7d + -3d = 4d 6 + 4d = 30 + 3d + -3d Combine like terms: 3d + -3d = 0 6 + 4d = 30 + 0 6 + 4d = 30 Add '-6' to each side of the equation. 6 + -6 + 4d = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4d = 30 + -6 4d = 30 + -6 Combine like terms: 30 + -6 = 24 4d = 24 Divide each side by '4'. d = 6 Simplifying d = 6
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