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Simplifying 9(4d + -9) = -31 + -2d Reorder the terms: 9(-9 + 4d) = -31 + -2d (-9 * 9 + 4d * 9) = -31 + -2d (-81 + 36d) = -31 + -2d Solving -81 + 36d = -31 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -81 + 36d + 2d = -31 + -2d + 2d Combine like terms: 36d + 2d = 38d -81 + 38d = -31 + -2d + 2d Combine like terms: -2d + 2d = 0 -81 + 38d = -31 + 0 -81 + 38d = -31 Add '81' to each side of the equation. -81 + 81 + 38d = -31 + 81 Combine like terms: -81 + 81 = 0 0 + 38d = -31 + 81 38d = -31 + 81 Combine like terms: -31 + 81 = 50 38d = 50 Divide each side by '38'. d = 1.315789474 Simplifying d = 1.315789474
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