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Simplifying 3(2d + 1) = -1(5 + -3d) Reorder the terms: 3(1 + 2d) = -1(5 + -3d) (1 * 3 + 2d * 3) = -1(5 + -3d) (3 + 6d) = -1(5 + -3d) 3 + 6d = (5 * -1 + -3d * -1) 3 + 6d = (-5 + 3d) Solving 3 + 6d = -5 + 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. 3 + 6d + -3d = -5 + 3d + -3d Combine like terms: 6d + -3d = 3d 3 + 3d = -5 + 3d + -3d Combine like terms: 3d + -3d = 0 3 + 3d = -5 + 0 3 + 3d = -5 Add '-3' to each side of the equation. 3 + -3 + 3d = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 3d = -5 + -3 3d = -5 + -3 Combine like terms: -5 + -3 = -8 3d = -8 Divide each side by '3'. d = -2.666666667 Simplifying d = -2.666666667
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