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Simplifying 8d + 2 = 5d + -7 Reorder the terms: 2 + 8d = 5d + -7 Reorder the terms: 2 + 8d = -7 + 5d Solving 2 + 8d = -7 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 2 + 8d + -5d = -7 + 5d + -5d Combine like terms: 8d + -5d = 3d 2 + 3d = -7 + 5d + -5d Combine like terms: 5d + -5d = 0 2 + 3d = -7 + 0 2 + 3d = -7 Add '-2' to each side of the equation. 2 + -2 + 3d = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 3d = -7 + -2 3d = -7 + -2 Combine like terms: -7 + -2 = -9 3d = -9 Divide each side by '3'. d = -3 Simplifying d = -3
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