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Simplifying 5d + 15 = 20d + -30 Reorder the terms: 15 + 5d = 20d + -30 Reorder the terms: 15 + 5d = -30 + 20d Solving 15 + 5d = -30 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. 15 + 5d + -20d = -30 + 20d + -20d Combine like terms: 5d + -20d = -15d 15 + -15d = -30 + 20d + -20d Combine like terms: 20d + -20d = 0 15 + -15d = -30 + 0 15 + -15d = -30 Add '-15' to each side of the equation. 15 + -15 + -15d = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -15d = -30 + -15 -15d = -30 + -15 Combine like terms: -30 + -15 = -45 -15d = -45 Divide each side by '-15'. d = 3 Simplifying d = 3
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