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Simplifying 12d + 7 = 5d + 21 Reorder the terms: 7 + 12d = 5d + 21 Reorder the terms: 7 + 12d = 21 + 5d Solving 7 + 12d = 21 + 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 + 12d + -5d = 21 + 5d + -5d Combine like terms: 12d + -5d = 7d 7 + 7d = 21 + 5d + -5d Combine like terms: 5d + -5d = 0 7 + 7d = 21 + 0 7 + 7d = 21 Add '-7' to each side of the equation. 7 + -7 + 7d = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 7d = 21 + -7 7d = 21 + -7 Combine like terms: 21 + -7 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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