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Simplifying 5d + -32 + 2d = -8 + 4d Reorder the terms: -32 + 5d + 2d = -8 + 4d Combine like terms: 5d + 2d = 7d -32 + 7d = -8 + 4d Solving -32 + 7d = -8 + 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. -32 + 7d + -4d = -8 + 4d + -4d Combine like terms: 7d + -4d = 3d -32 + 3d = -8 + 4d + -4d Combine like terms: 4d + -4d = 0 -32 + 3d = -8 + 0 -32 + 3d = -8 Add '32' to each side of the equation. -32 + 32 + 3d = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 3d = -8 + 32 3d = -8 + 32 Combine like terms: -8 + 32 = 24 3d = 24 Divide each side by '3'. d = 8 Simplifying d = 8
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