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Simplifying 2d(3a + 2) = 0 Reorder the terms: 2d(2 + 3a) = 0 (2 * 2d + 3a * 2d) = 0 Reorder the terms: (6ad + 4d) = 0 (6ad + 4d) = 0 Solving 6ad + 4d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4d' to each side of the equation. 6ad + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 6ad + 0 = 0 + -4d 6ad = 0 + -4d Remove the zero: 6ad = -4d Divide each side by '6d'. a = -0.6666666667 Simplifying a = -0.6666666667
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