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Simplifying 5d + 8 + 7d + -1 = 0 Reorder the terms: 8 + -1 + 5d + 7d = 0 Combine like terms: 8 + -1 = 7 7 + 5d + 7d = 0 Combine like terms: 5d + 7d = 12d 7 + 12d = 0 Solving 7 + 12d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12d = 0 + -7 12d = 0 + -7 Combine like terms: 0 + -7 = -7 12d = -7 Divide each side by '12'. d = -0.5833333333 Simplifying d = -0.5833333333
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