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Simplifying 3 + 9d + -20 = 20d + 40 + -30d Reorder the terms: 3 + -20 + 9d = 20d + 40 + -30d Combine like terms: 3 + -20 = -17 -17 + 9d = 20d + 40 + -30d Reorder the terms: -17 + 9d = 40 + 20d + -30d Combine like terms: 20d + -30d = -10d -17 + 9d = 40 + -10d Solving -17 + 9d = 40 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. -17 + 9d + 10d = 40 + -10d + 10d Combine like terms: 9d + 10d = 19d -17 + 19d = 40 + -10d + 10d Combine like terms: -10d + 10d = 0 -17 + 19d = 40 + 0 -17 + 19d = 40 Add '17' to each side of the equation. -17 + 17 + 19d = 40 + 17 Combine like terms: -17 + 17 = 0 0 + 19d = 40 + 17 19d = 40 + 17 Combine like terms: 40 + 17 = 57 19d = 57 Divide each side by '19'. d = 3 Simplifying d = 3
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