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Simplifying 30.5 + 9.5d = 6(2.5d + 8.5) Reorder the terms: 30.5 + 9.5d = 6(8.5 + 2.5d) 30.5 + 9.5d = (8.5 * 6 + 2.5d * 6) 30.5 + 9.5d = (51 + 15d) Solving 30.5 + 9.5d = 51 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 30.5 + 9.5d + -15d = 51 + 15d + -15d Combine like terms: 9.5d + -15d = -5.5d 30.5 + -5.5d = 51 + 15d + -15d Combine like terms: 15d + -15d = 0 30.5 + -5.5d = 51 + 0 30.5 + -5.5d = 51 Add '-30.5' to each side of the equation. 30.5 + -30.5 + -5.5d = 51 + -30.5 Combine like terms: 30.5 + -30.5 = 0.0 0.0 + -5.5d = 51 + -30.5 -5.5d = 51 + -30.5 Combine like terms: 51 + -30.5 = 20.5 -5.5d = 20.5 Divide each side by '-5.5'. d = -3.727272727 Simplifying d = -3.727272727
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