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Simplifying -5d + 32 = 3d + -32 Reorder the terms: 32 + -5d = 3d + -32 Reorder the terms: 32 + -5d = -32 + 3d Solving 32 + -5d = -32 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 32 + -5d + -3d = -32 + 3d + -3d Combine like terms: -5d + -3d = -8d 32 + -8d = -32 + 3d + -3d Combine like terms: 3d + -3d = 0 32 + -8d = -32 + 0 32 + -8d = -32 Add '-32' to each side of the equation. 32 + -32 + -8d = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -8d = -32 + -32 -8d = -32 + -32 Combine like terms: -32 + -32 = -64 -8d = -64 Divide each side by '-8'. d = 8 Simplifying d = 8
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