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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 = -6 6d = -6 Divide each side by '6'. d = -1 Simplifying d = -1
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