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Simplifying 5d + 28 = 11d + -9d + -2 Reorder the terms: 28 + 5d = 11d + -9d + -2 Reorder the terms: 28 + 5d = -2 + 11d + -9d Combine like terms: 11d + -9d = 2d 28 + 5d = -2 + 2d Solving 28 + 5d = -2 + 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. 28 + 5d + -2d = -2 + 2d + -2d Combine like terms: 5d + -2d = 3d 28 + 3d = -2 + 2d + -2d Combine like terms: 2d + -2d = 0 28 + 3d = -2 + 0 28 + 3d = -2 Add '-28' to each side of the equation. 28 + -28 + 3d = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 3d = -2 + -28 3d = -2 + -28 Combine like terms: -2 + -28 = -30 3d = -30 Divide each side by '3'. d = -10 Simplifying d = -10
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