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Simplifying 4d(2a + 3) = 0 Reorder the terms: 4d(3 + 2a) = 0 (3 * 4d + 2a * 4d) = 0 Reorder the terms: (8ad + 12d) = 0 (8ad + 12d) = 0 Solving 8ad + 12d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12d' to each side of the equation. 8ad + 12d + -12d = 0 + -12d Combine like terms: 12d + -12d = 0 8ad + 0 = 0 + -12d 8ad = 0 + -12d Remove the zero: 8ad = -12d Divide each side by '8d'. a = -1.5 Simplifying a = -1.5
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