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Simplifying -2d + 7 + -2 = -3 + -3d Reorder the terms: 7 + -2 + -2d = -3 + -3d Combine like terms: 7 + -2 = 5 5 + -2d = -3 + -3d Solving 5 + -2d = -3 + -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. 5 + -2d + 3d = -3 + -3d + 3d Combine like terms: -2d + 3d = 1d 5 + 1d = -3 + -3d + 3d Combine like terms: -3d + 3d = 0 5 + 1d = -3 + 0 5 + 1d = -3 Add '-5' to each side of the equation. 5 + -5 + 1d = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1d = -3 + -5 1d = -3 + -5 Combine like terms: -3 + -5 = -8 1d = -8 Divide each side by '1'. d = -8 Simplifying d = -8
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