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Simplifying -1d + 5 = 12 + 2d + -3 Reorder the terms: 5 + -1d = 12 + 2d + -3 Reorder the terms: 5 + -1d = 12 + -3 + 2d Combine like terms: 12 + -3 = 9 5 + -1d = 9 + 2d Solving 5 + -1d = 9 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 5 + -1d + -2d = 9 + 2d + -2d Combine like terms: -1d + -2d = -3d 5 + -3d = 9 + 2d + -2d Combine like terms: 2d + -2d = 0 5 + -3d = 9 + 0 5 + -3d = 9 Add '-5' to each side of the equation. 5 + -5 + -3d = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -3d = 9 + -5 -3d = 9 + -5 Combine like terms: 9 + -5 = 4 -3d = 4 Divide each side by '-3'. d = -1.333333333 Simplifying d = -1.333333333
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