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Simplifying -2d + -2 = 3d + 8 Reorder the terms: -2 + -2d = 3d + 8 Reorder the terms: -2 + -2d = 8 + 3d Solving -2 + -2d = 8 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -2 + -2d + -3d = 8 + 3d + -3d Combine like terms: -2d + -3d = -5d -2 + -5d = 8 + 3d + -3d Combine like terms: 3d + -3d = 0 -2 + -5d = 8 + 0 -2 + -5d = 8 Add '2' to each side of the equation. -2 + 2 + -5d = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5d = 8 + 2 -5d = 8 + 2 Combine like terms: 8 + 2 = 10 -5d = 10 Divide each side by '-5'. d = -2 Simplifying d = -2
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