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Simplifying 9(2d + -1) = -1(3d + -2) Reorder the terms: 9(-1 + 2d) = -1(3d + -2) (-1 * 9 + 2d * 9) = -1(3d + -2) (-9 + 18d) = -1(3d + -2) Reorder the terms: -9 + 18d = -1(-2 + 3d) -9 + 18d = (-2 * -1 + 3d * -1) -9 + 18d = (2 + -3d) Solving -9 + 18d = 2 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -9 + 18d + 3d = 2 + -3d + 3d Combine like terms: 18d + 3d = 21d -9 + 21d = 2 + -3d + 3d Combine like terms: -3d + 3d = 0 -9 + 21d = 2 + 0 -9 + 21d = 2 Add '9' to each side of the equation. -9 + 9 + 21d = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 21d = 2 + 9 21d = 2 + 9 Combine like terms: 2 + 9 = 11 21d = 11 Divide each side by '21'. d = 0.5238095238 Simplifying d = 0.5238095238
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