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Simplifying -4(-1d + -4) = -4d + 6(2d + 6) Reorder the terms: -4(-4 + -1d) = -4d + 6(2d + 6) (-4 * -4 + -1d * -4) = -4d + 6(2d + 6) (16 + 4d) = -4d + 6(2d + 6) Reorder the terms: 16 + 4d = -4d + 6(6 + 2d) 16 + 4d = -4d + (6 * 6 + 2d * 6) 16 + 4d = -4d + (36 + 12d) Reorder the terms: 16 + 4d = 36 + -4d + 12d Combine like terms: -4d + 12d = 8d 16 + 4d = 36 + 8d Solving 16 + 4d = 36 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 16 + 4d + -8d = 36 + 8d + -8d Combine like terms: 4d + -8d = -4d 16 + -4d = 36 + 8d + -8d Combine like terms: 8d + -8d = 0 16 + -4d = 36 + 0 16 + -4d = 36 Add '-16' to each side of the equation. 16 + -16 + -4d = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -4d = 36 + -16 -4d = 36 + -16 Combine like terms: 36 + -16 = 20 -4d = 20 Divide each side by '-4'. d = -5 Simplifying d = -5
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