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Simplifying 12d + 9 = 7d + 49 Reorder the terms: 9 + 12d = 7d + 49 Reorder the terms: 9 + 12d = 49 + 7d Solving 9 + 12d = 49 + 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 + 12d + -7d = 49 + 7d + -7d Combine like terms: 12d + -7d = 5d 9 + 5d = 49 + 7d + -7d Combine like terms: 7d + -7d = 0 9 + 5d = 49 + 0 9 + 5d = 49 Add '-9' to each side of the equation. 9 + -9 + 5d = 49 + -9 Combine like terms: 9 + -9 = 0 0 + 5d = 49 + -9 5d = 49 + -9 Combine like terms: 49 + -9 = 40 5d = 40 Divide each side by '5'. d = 8 Simplifying d = 8
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