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Simplifying -4(-3 + -6d) = 9(2d + -2) (-3 * -4 + -6d * -4) = 9(2d + -2) (12 + 24d) = 9(2d + -2) Reorder the terms: 12 + 24d = 9(-2 + 2d) 12 + 24d = (-2 * 9 + 2d * 9) 12 + 24d = (-18 + 18d) Solving 12 + 24d = -18 + 18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18d' to each side of the equation. 12 + 24d + -18d = -18 + 18d + -18d Combine like terms: 24d + -18d = 6d 12 + 6d = -18 + 18d + -18d Combine like terms: 18d + -18d = 0 12 + 6d = -18 + 0 12 + 6d = -18 Add '-12' to each side of the equation. 12 + -12 + 6d = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 6d = -18 + -12 6d = -18 + -12 Combine like terms: -18 + -12 = -30 6d = -30 Divide each side by '6'. d = -5 Simplifying d = -5
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