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Simplifying -4(3 + -6d) = 9(2d + -3) (3 * -4 + -6d * -4) = 9(2d + -3) (-12 + 24d) = 9(2d + -3) Reorder the terms: -12 + 24d = 9(-3 + 2d) -12 + 24d = (-3 * 9 + 2d * 9) -12 + 24d = (-27 + 18d) Solving -12 + 24d = -27 + 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 = -27 + 18d + -18d Combine like terms: 24d + -18d = 6d -12 + 6d = -27 + 18d + -18d Combine like terms: 18d + -18d = 0 -12 + 6d = -27 + 0 -12 + 6d = -27 Add '12' to each side of the equation. -12 + 12 + 6d = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 6d = -27 + 12 6d = -27 + 12 Combine like terms: -27 + 12 = -15 6d = -15 Divide each side by '6'. d = -2.5 Simplifying d = -2.5
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