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Simplifying 9d + 75 = 5d + -45 Reorder the terms: 75 + 9d = 5d + -45 Reorder the terms: 75 + 9d = -45 + 5d Solving 75 + 9d = -45 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 75 + 9d + -5d = -45 + 5d + -5d Combine like terms: 9d + -5d = 4d 75 + 4d = -45 + 5d + -5d Combine like terms: 5d + -5d = 0 75 + 4d = -45 + 0 75 + 4d = -45 Add '-75' to each side of the equation. 75 + -75 + 4d = -45 + -75 Combine like terms: 75 + -75 = 0 0 + 4d = -45 + -75 4d = -45 + -75 Combine like terms: -45 + -75 = -120 4d = -120 Divide each side by '4'. d = -30 Simplifying d = -30
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