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Simplifying 12d + 6 = 8d + 14 Reorder the terms: 6 + 12d = 8d + 14 Reorder the terms: 6 + 12d = 14 + 8d Solving 6 + 12d = 14 + 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 = 14 + 8d + -8d Combine like terms: 12d + -8d = 4d 6 + 4d = 14 + 8d + -8d Combine like terms: 8d + -8d = 0 6 + 4d = 14 + 0 6 + 4d = 14 Add '-6' to each side of the equation. 6 + -6 + 4d = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 4d = 14 + -6 4d = 14 + -6 Combine like terms: 14 + -6 = 8 4d = 8 Divide each side by '4'. d = 2 Simplifying d = 2
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