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Simplifying 2d + 2 = 3d + -38 + 4d Reorder the terms: 2 + 2d = 3d + -38 + 4d Reorder the terms: 2 + 2d = -38 + 3d + 4d Combine like terms: 3d + 4d = 7d 2 + 2d = -38 + 7d Solving 2 + 2d = -38 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 2 + 2d + -7d = -38 + 7d + -7d Combine like terms: 2d + -7d = -5d 2 + -5d = -38 + 7d + -7d Combine like terms: 7d + -7d = 0 2 + -5d = -38 + 0 2 + -5d = -38 Add '-2' to each side of the equation. 2 + -2 + -5d = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -5d = -38 + -2 -5d = -38 + -2 Combine like terms: -38 + -2 = -40 -5d = -40 Divide each side by '-5'. d = 8 Simplifying d = 8
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