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Simplifying -2(2d + -4) = -4(-1d + 2) Reorder the terms: -2(-4 + 2d) = -4(-1d + 2) (-4 * -2 + 2d * -2) = -4(-1d + 2) (8 + -4d) = -4(-1d + 2) Reorder the terms: 8 + -4d = -4(2 + -1d) 8 + -4d = (2 * -4 + -1d * -4) 8 + -4d = (-8 + 4d) Solving 8 + -4d = -8 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 8 + -4d + -4d = -8 + 4d + -4d Combine like terms: -4d + -4d = -8d 8 + -8d = -8 + 4d + -4d Combine like terms: 4d + -4d = 0 8 + -8d = -8 + 0 8 + -8d = -8 Add '-8' to each side of the equation. 8 + -8 + -8d = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -8d = -8 + -8 -8d = -8 + -8 Combine like terms: -8 + -8 = -16 -8d = -16 Divide each side by '-8'. d = 2 Simplifying d = 2
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