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Simplifying 4d + -1d + 5d + 2 = 2d Reorder the terms: 2 + 4d + -1d + 5d = 2d Combine like terms: 4d + -1d = 3d 2 + 3d + 5d = 2d Combine like terms: 3d + 5d = 8d 2 + 8d = 2d Solving 2 + 8d = 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. 2 + 8d + -2d = 2d + -2d Combine like terms: 8d + -2d = 6d 2 + 6d = 2d + -2d Combine like terms: 2d + -2d = 0 2 + 6d = 0 Add '-2' to each side of the equation. 2 + -2 + 6d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6d = 0 + -2 6d = 0 + -2 Combine like terms: 0 + -2 = -2 6d = -2 Divide each side by '6'. d = -0.3333333333 Simplifying d = -0.3333333333
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