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Simplifying 3(2d + 5) + 4d = 85 Reorder the terms: 3(5 + 2d) + 4d = 85 (5 * 3 + 2d * 3) + 4d = 85 (15 + 6d) + 4d = 85 Combine like terms: 6d + 4d = 10d 15 + 10d = 85 Solving 15 + 10d = 85 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10d = 85 + -15 Combine like terms: 15 + -15 = 0 0 + 10d = 85 + -15 10d = 85 + -15 Combine like terms: 85 + -15 = 70 10d = 70 Divide each side by '10'. d = 7 Simplifying d = 7
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