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Simplifying 9(4d + -8) = -31 + -2d Reorder the terms: 9(-8 + 4d) = -31 + -2d (-8 * 9 + 4d * 9) = -31 + -2d (-72 + 36d) = -31 + -2d Solving -72 + 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. -72 + 36d + 2d = -31 + -2d + 2d Combine like terms: 36d + 2d = 38d -72 + 38d = -31 + -2d + 2d Combine like terms: -2d + 2d = 0 -72 + 38d = -31 + 0 -72 + 38d = -31 Add '72' to each side of the equation. -72 + 72 + 38d = -31 + 72 Combine like terms: -72 + 72 = 0 0 + 38d = -31 + 72 38d = -31 + 72 Combine like terms: -31 + 72 = 41 38d = 41 Divide each side by '38'. d = 1.078947368 Simplifying d = 1.078947368
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