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Simplifying 31 = 3(2d + 6) Reorder the terms: 31 = 3(6 + 2d) 31 = (6 * 3 + 2d * 3) 31 = (18 + 6d) Solving 31 = 18 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 31 + -6d = 18 + 6d + -6d Combine like terms: 6d + -6d = 0 31 + -6d = 18 + 0 31 + -6d = 18 Add '-31' to each side of the equation. 31 + -31 + -6d = 18 + -31 Combine like terms: 31 + -31 = 0 0 + -6d = 18 + -31 -6d = 18 + -31 Combine like terms: 18 + -31 = -13 -6d = -13 Divide each side by '-6'. d = 2.166666667 Simplifying d = 2.166666667
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