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Simplifying 5d + 33 = 2d Reorder the terms: 33 + 5d = 2d Solving 33 + 5d = 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. 33 + 5d + -2d = 2d + -2d Combine like terms: 5d + -2d = 3d 33 + 3d = 2d + -2d Combine like terms: 2d + -2d = 0 33 + 3d = 0 Add '-33' to each side of the equation. 33 + -33 + 3d = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 3d = 0 + -33 3d = 0 + -33 Combine like terms: 0 + -33 = -33 3d = -33 Divide each side by '3'. d = -11 Simplifying d = -11
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