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Simplifying 15d + 9 = 7d + 33 Reorder the terms: 9 + 15d = 7d + 33 Reorder the terms: 9 + 15d = 33 + 7d Solving 9 + 15d = 33 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 9 + 15d + -7d = 33 + 7d + -7d Combine like terms: 15d + -7d = 8d 9 + 8d = 33 + 7d + -7d Combine like terms: 7d + -7d = 0 9 + 8d = 33 + 0 9 + 8d = 33 Add '-9' to each side of the equation. 9 + -9 + 8d = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 8d = 33 + -9 8d = 33 + -9 Combine like terms: 33 + -9 = 24 8d = 24 Divide each side by '8'. d = 3 Simplifying d = 3
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