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Simplifying 31 + -2d = -4(9d + -6) Reorder the terms: 31 + -2d = -4(-6 + 9d) 31 + -2d = (-6 * -4 + 9d * -4) 31 + -2d = (24 + -36d) Solving 31 + -2d = 24 + -36d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '36d' to each side of the equation. 31 + -2d + 36d = 24 + -36d + 36d Combine like terms: -2d + 36d = 34d 31 + 34d = 24 + -36d + 36d Combine like terms: -36d + 36d = 0 31 + 34d = 24 + 0 31 + 34d = 24 Add '-31' to each side of the equation. 31 + -31 + 34d = 24 + -31 Combine like terms: 31 + -31 = 0 0 + 34d = 24 + -31 34d = 24 + -31 Combine like terms: 24 + -31 = -7 34d = -7 Divide each side by '34'. d = -0.2058823529 Simplifying d = -0.2058823529
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