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Simplifying -3(3 + -1d) = 4(2d + 8) (3 * -3 + -1d * -3) = 4(2d + 8) (-9 + 3d) = 4(2d + 8) Reorder the terms: -9 + 3d = 4(8 + 2d) -9 + 3d = (8 * 4 + 2d * 4) -9 + 3d = (32 + 8d) Solving -9 + 3d = 32 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -9 + 3d + -8d = 32 + 8d + -8d Combine like terms: 3d + -8d = -5d -9 + -5d = 32 + 8d + -8d Combine like terms: 8d + -8d = 0 -9 + -5d = 32 + 0 -9 + -5d = 32 Add '9' to each side of the equation. -9 + 9 + -5d = 32 + 9 Combine like terms: -9 + 9 = 0 0 + -5d = 32 + 9 -5d = 32 + 9 Combine like terms: 32 + 9 = 41 -5d = 41 Divide each side by '-5'. d = -8.2 Simplifying d = -8.2
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