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Simplifying 7d + 77 = 3d + -75 Reorder the terms: 77 + 7d = 3d + -75 Reorder the terms: 77 + 7d = -75 + 3d Solving 77 + 7d = -75 + 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. 77 + 7d + -3d = -75 + 3d + -3d Combine like terms: 7d + -3d = 4d 77 + 4d = -75 + 3d + -3d Combine like terms: 3d + -3d = 0 77 + 4d = -75 + 0 77 + 4d = -75 Add '-77' to each side of the equation. 77 + -77 + 4d = -75 + -77 Combine like terms: 77 + -77 = 0 0 + 4d = -75 + -77 4d = -75 + -77 Combine like terms: -75 + -77 = -152 4d = -152 Divide each side by '4'. d = -38 Simplifying d = -38
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