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Simplifying 4(3a + -2d) = 0 (3a * 4 + -2d * 4) = 0 (12a + -8d) = 0 Solving 12a + -8d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8d' to each side of the equation. 12a + -8d + 8d = 0 + 8d Combine like terms: -8d + 8d = 0 12a + 0 = 0 + 8d 12a = 0 + 8d Remove the zero: 12a = 8d Divide each side by '12'. a = 0.6666666667d Simplifying a = 0.6666666667d
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