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Simplifying 4d + 9 + -1d + 1 = 31 Reorder the terms: 9 + 1 + 4d + -1d = 31 Combine like terms: 9 + 1 = 10 10 + 4d + -1d = 31 Combine like terms: 4d + -1d = 3d 10 + 3d = 31 Solving 10 + 3d = 31 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3d = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 3d = 31 + -10 3d = 31 + -10 Combine like terms: 31 + -10 = 21 3d = 21 Divide each side by '3'. d = 7 Simplifying d = 7
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