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Simplifying 12d + -8 = 7d + 7 Reorder the terms: -8 + 12d = 7d + 7 Reorder the terms: -8 + 12d = 7 + 7d Solving -8 + 12d = 7 + 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. -8 + 12d + -7d = 7 + 7d + -7d Combine like terms: 12d + -7d = 5d -8 + 5d = 7 + 7d + -7d Combine like terms: 7d + -7d = 0 -8 + 5d = 7 + 0 -8 + 5d = 7 Add '8' to each side of the equation. -8 + 8 + 5d = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5d = 7 + 8 5d = 7 + 8 Combine like terms: 7 + 8 = 15 5d = 15 Divide each side by '5'. d = 3 Simplifying d = 3
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