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Simplifying -5d + 7d + 3 = 33 Reorder the terms: 3 + -5d + 7d = 33 Combine like terms: -5d + 7d = 2d 3 + 2d = 33 Solving 3 + 2d = 33 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2d = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 2d = 33 + -3 2d = 33 + -3 Combine like terms: 33 + -3 = 30 2d = 30 Divide each side by '2'. d = 15 Simplifying d = 15
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