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Simplifying 10d + 30 = 20 + 8d Reorder the terms: 30 + 10d = 20 + 8d Solving 30 + 10d = 20 + 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. 30 + 10d + -8d = 20 + 8d + -8d Combine like terms: 10d + -8d = 2d 30 + 2d = 20 + 8d + -8d Combine like terms: 8d + -8d = 0 30 + 2d = 20 + 0 30 + 2d = 20 Add '-30' to each side of the equation. 30 + -30 + 2d = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 2d = 20 + -30 2d = 20 + -30 Combine like terms: 20 + -30 = -10 2d = -10 Divide each side by '2'. d = -5 Simplifying d = -5
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