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Simplifying 2d + -8 = 7d + 12 Reorder the terms: -8 + 2d = 7d + 12 Reorder the terms: -8 + 2d = 12 + 7d Solving -8 + 2d = 12 + 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 + 2d + -7d = 12 + 7d + -7d Combine like terms: 2d + -7d = -5d -8 + -5d = 12 + 7d + -7d Combine like terms: 7d + -7d = 0 -8 + -5d = 12 + 0 -8 + -5d = 12 Add '8' to each side of the equation. -8 + 8 + -5d = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5d = 12 + 8 -5d = 12 + 8 Combine like terms: 12 + 8 = 20 -5d = 20 Divide each side by '-5'. d = -4 Simplifying d = -4
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