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Simplifying 12d + 6 = 8d + 34 Reorder the terms: 6 + 12d = 8d + 34 Reorder the terms: 6 + 12d = 34 + 8d Solving 6 + 12d = 34 + 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. 6 + 12d + -8d = 34 + 8d + -8d Combine like terms: 12d + -8d = 4d 6 + 4d = 34 + 8d + -8d Combine like terms: 8d + -8d = 0 6 + 4d = 34 + 0 6 + 4d = 34 Add '-6' to each side of the equation. 6 + -6 + 4d = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 4d = 34 + -6 4d = 34 + -6 Combine like terms: 34 + -6 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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