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Simplifying 7d + 6 = 4d + 33 Reorder the terms: 6 + 7d = 4d + 33 Reorder the terms: 6 + 7d = 33 + 4d Solving 6 + 7d = 33 + 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. 6 + 7d + -4d = 33 + 4d + -4d Combine like terms: 7d + -4d = 3d 6 + 3d = 33 + 4d + -4d Combine like terms: 4d + -4d = 0 6 + 3d = 33 + 0 6 + 3d = 33 Add '-6' to each side of the equation. 6 + -6 + 3d = 33 + -6 Combine like terms: 6 + -6 = 0 0 + 3d = 33 + -6 3d = 33 + -6 Combine like terms: 33 + -6 = 27 3d = 27 Divide each side by '3'. d = 9 Simplifying d = 9
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