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Simplifying 4(2D + -9) = 6(10D + -6) Reorder the terms: 4(-9 + 2D) = 6(10D + -6) (-9 * 4 + 2D * 4) = 6(10D + -6) (-36 + 8D) = 6(10D + -6) Reorder the terms: -36 + 8D = 6(-6 + 10D) -36 + 8D = (-6 * 6 + 10D * 6) -36 + 8D = (-36 + 60D) Add '36' to each side of the equation. -36 + 36 + 8D = -36 + 36 + 60D Combine like terms: -36 + 36 = 0 0 + 8D = -36 + 36 + 60D 8D = -36 + 36 + 60D Combine like terms: -36 + 36 = 0 8D = 0 + 60D 8D = 60D Solving 8D = 60D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-60D' to each side of the equation. 8D + -60D = 60D + -60D Combine like terms: 8D + -60D = -52D -52D = 60D + -60D Combine like terms: 60D + -60D = 0 -52D = 0 Divide each side by '-52'. D = 0 Simplifying D = 0
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