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Simplifying 6d + -38 = 4d + 52 Reorder the terms: -38 + 6d = 4d + 52 Reorder the terms: -38 + 6d = 52 + 4d Solving -38 + 6d = 52 + 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. -38 + 6d + -4d = 52 + 4d + -4d Combine like terms: 6d + -4d = 2d -38 + 2d = 52 + 4d + -4d Combine like terms: 4d + -4d = 0 -38 + 2d = 52 + 0 -38 + 2d = 52 Add '38' to each side of the equation. -38 + 38 + 2d = 52 + 38 Combine like terms: -38 + 38 = 0 0 + 2d = 52 + 38 2d = 52 + 38 Combine like terms: 52 + 38 = 90 2d = 90 Divide each side by '2'. d = 45 Simplifying d = 45
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