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Simplifying 3d + 7 = 8d + -23 Reorder the terms: 7 + 3d = 8d + -23 Reorder the terms: 7 + 3d = -23 + 8d Solving 7 + 3d = -23 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 7 + 3d + -8d = -23 + 8d + -8d Combine like terms: 3d + -8d = -5d 7 + -5d = -23 + 8d + -8d Combine like terms: 8d + -8d = 0 7 + -5d = -23 + 0 7 + -5d = -23 Add '-7' to each side of the equation. 7 + -7 + -5d = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -5d = -23 + -7 -5d = -23 + -7 Combine like terms: -23 + -7 = -30 -5d = -30 Divide each side by '-5'. d = 6 Simplifying d = 6
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