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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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