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Simplifying 31 = 9(7d + 6) Reorder the terms: 31 = 9(6 + 7d) 31 = (6 * 9 + 7d * 9) 31 = (54 + 63d) Solving 31 = 54 + 63d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-63d' to each side of the equation. 31 + -63d = 54 + 63d + -63d Combine like terms: 63d + -63d = 0 31 + -63d = 54 + 0 31 + -63d = 54 Add '-31' to each side of the equation. 31 + -31 + -63d = 54 + -31 Combine like terms: 31 + -31 = 0 0 + -63d = 54 + -31 -63d = 54 + -31 Combine like terms: 54 + -31 = 23 -63d = 23 Divide each side by '-63'. d = -0.3650793651 Simplifying d = -0.3650793651
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