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Simplifying 3(1 + -1d) = 2 + -1(2d + -4) (1 * 3 + -1d * 3) = 2 + -1(2d + -4) (3 + -3d) = 2 + -1(2d + -4) Reorder the terms: 3 + -3d = 2 + -1(-4 + 2d) 3 + -3d = 2 + (-4 * -1 + 2d * -1) 3 + -3d = 2 + (4 + -2d) Combine like terms: 2 + 4 = 6 3 + -3d = 6 + -2d Solving 3 + -3d = 6 + -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. 3 + -3d + 2d = 6 + -2d + 2d Combine like terms: -3d + 2d = -1d 3 + -1d = 6 + -2d + 2d Combine like terms: -2d + 2d = 0 3 + -1d = 6 + 0 3 + -1d = 6 Add '-3' to each side of the equation. 3 + -3 + -1d = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1d = 6 + -3 -1d = 6 + -3 Combine like terms: 6 + -3 = 3 -1d = 3 Divide each side by '-1'. d = -3 Simplifying d = -3
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