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Simplifying 2d + 52 = 3d + -9 Reorder the terms: 52 + 2d = 3d + -9 Reorder the terms: 52 + 2d = -9 + 3d Solving 52 + 2d = -9 + 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. 52 + 2d + -3d = -9 + 3d + -3d Combine like terms: 2d + -3d = -1d 52 + -1d = -9 + 3d + -3d Combine like terms: 3d + -3d = 0 52 + -1d = -9 + 0 52 + -1d = -9 Add '-52' to each side of the equation. 52 + -52 + -1d = -9 + -52 Combine like terms: 52 + -52 = 0 0 + -1d = -9 + -52 -1d = -9 + -52 Combine like terms: -9 + -52 = -61 -1d = -61 Divide each side by '-1'. d = 61 Simplifying d = 61
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