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Simplifying 9d + 7 = 5d + 15 Reorder the terms: 7 + 9d = 5d + 15 Reorder the terms: 7 + 9d = 15 + 5d Solving 7 + 9d = 15 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 7 + 9d + -5d = 15 + 5d + -5d Combine like terms: 9d + -5d = 4d 7 + 4d = 15 + 5d + -5d Combine like terms: 5d + -5d = 0 7 + 4d = 15 + 0 7 + 4d = 15 Add '-7' to each side of the equation. 7 + -7 + 4d = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4d = 15 + -7 4d = 15 + -7 Combine like terms: 15 + -7 = 8 4d = 8 Divide each side by '4'. d = 2 Simplifying d = 2
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