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Simplifying -10 + -2d + 15 = -12 + -3d Reorder the terms: -10 + 15 + -2d = -12 + -3d Combine like terms: -10 + 15 = 5 5 + -2d = -12 + -3d Solving 5 + -2d = -12 + -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 = -12 + -3d + 3d Combine like terms: -2d + 3d = 1d 5 + 1d = -12 + -3d + 3d Combine like terms: -3d + 3d = 0 5 + 1d = -12 + 0 5 + 1d = -12 Add '-5' to each side of the equation. 5 + -5 + 1d = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 1d = -12 + -5 1d = -12 + -5 Combine like terms: -12 + -5 = -17 1d = -17 Divide each side by '1'. d = -17 Simplifying d = -17
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