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Simplifying 12d + 7 = 8d + 11 Reorder the terms: 7 + 12d = 8d + 11 Reorder the terms: 7 + 12d = 11 + 8d Solving 7 + 12d = 11 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 7 + 12d + -8d = 11 + 8d + -8d Combine like terms: 12d + -8d = 4d 7 + 4d = 11 + 8d + -8d Combine like terms: 8d + -8d = 0 7 + 4d = 11 + 0 7 + 4d = 11 Add '-7' to each side of the equation. 7 + -7 + 4d = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 4d = 11 + -7 4d = 11 + -7 Combine like terms: 11 + -7 = 4 4d = 4 Divide each side by '4'. d = 1 Simplifying d = 1
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