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Simplifying 5d + -3 + 2d = 4d + -9 Reorder the terms: -3 + 5d + 2d = 4d + -9 Combine like terms: 5d + 2d = 7d -3 + 7d = 4d + -9 Reorder the terms: -3 + 7d = -9 + 4d Solving -3 + 7d = -9 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -3 + 7d + -4d = -9 + 4d + -4d Combine like terms: 7d + -4d = 3d -3 + 3d = -9 + 4d + -4d Combine like terms: 4d + -4d = 0 -3 + 3d = -9 + 0 -3 + 3d = -9 Add '3' to each side of the equation. -3 + 3 + 3d = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 3d = -9 + 3 3d = -9 + 3 Combine like terms: -9 + 3 = -6 3d = -6 Divide each side by '3'. d = -2 Simplifying d = -2
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