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Simplifying -2(8 + 4d) = -4(-3d + -6) (8 * -2 + 4d * -2) = -4(-3d + -6) (-16 + -8d) = -4(-3d + -6) Reorder the terms: -16 + -8d = -4(-6 + -3d) -16 + -8d = (-6 * -4 + -3d * -4) -16 + -8d = (24 + 12d) Solving -16 + -8d = 24 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -16 + -8d + -12d = 24 + 12d + -12d Combine like terms: -8d + -12d = -20d -16 + -20d = 24 + 12d + -12d Combine like terms: 12d + -12d = 0 -16 + -20d = 24 + 0 -16 + -20d = 24 Add '16' to each side of the equation. -16 + 16 + -20d = 24 + 16 Combine like terms: -16 + 16 = 0 0 + -20d = 24 + 16 -20d = 24 + 16 Combine like terms: 24 + 16 = 40 -20d = 40 Divide each side by '-20'. d = -2 Simplifying d = -2
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