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Simplifying d + 3 = 2(4d + 7) Reorder the terms: 3 + d = 2(4d + 7) Reorder the terms: 3 + d = 2(7 + 4d) 3 + d = (7 * 2 + 4d * 2) 3 + d = (14 + 8d) Solving 3 + d = 14 + 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. 3 + d + -8d = 14 + 8d + -8d Combine like terms: d + -8d = -7d 3 + -7d = 14 + 8d + -8d Combine like terms: 8d + -8d = 0 3 + -7d = 14 + 0 3 + -7d = 14 Add '-3' to each side of the equation. 3 + -3 + -7d = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -7d = 14 + -3 -7d = 14 + -3 Combine like terms: 14 + -3 = 11 -7d = 11 Divide each side by '-7'. d = -1.571428571 Simplifying d = -1.571428571
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