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Simplifying -4(-4 + -1d) = -1(-12d + 8) (-4 * -4 + -1d * -4) = -1(-12d + 8) (16 + 4d) = -1(-12d + 8) Reorder the terms: 16 + 4d = -1(8 + -12d) 16 + 4d = (8 * -1 + -12d * -1) 16 + 4d = (-8 + 12d) Solving 16 + 4d = -8 + 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 + 4d + -12d = -8 + 12d + -12d Combine like terms: 4d + -12d = -8d 16 + -8d = -8 + 12d + -12d Combine like terms: 12d + -12d = 0 16 + -8d = -8 + 0 16 + -8d = -8 Add '-16' to each side of the equation. 16 + -16 + -8d = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -8d = -8 + -16 -8d = -8 + -16 Combine like terms: -8 + -16 = -24 -8d = -24 Divide each side by '-8'. d = 3 Simplifying d = 3
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