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Simplifying 23 + -5d = 7d + -25 Reorder the terms: 23 + -5d = -25 + 7d Solving 23 + -5d = -25 + 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. 23 + -5d + -7d = -25 + 7d + -7d Combine like terms: -5d + -7d = -12d 23 + -12d = -25 + 7d + -7d Combine like terms: 7d + -7d = 0 23 + -12d = -25 + 0 23 + -12d = -25 Add '-23' to each side of the equation. 23 + -23 + -12d = -25 + -23 Combine like terms: 23 + -23 = 0 0 + -12d = -25 + -23 -12d = -25 + -23 Combine like terms: -25 + -23 = -48 -12d = -48 Divide each side by '-12'. d = 4 Simplifying d = 4
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