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Simplifying 3a + 6d + 9a + 8d = 0 Reorder the terms: 3a + 9a + 6d + 8d = 0 Combine like terms: 3a + 9a = 12a 12a + 6d + 8d = 0 Combine like terms: 6d + 8d = 14d 12a + 14d = 0 Solving 12a + 14d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14d' to each side of the equation. 12a + 14d + -14d = 0 + -14d Combine like terms: 14d + -14d = 0 12a + 0 = 0 + -14d 12a = 0 + -14d Remove the zero: 12a = -14d Divide each side by '12'. a = -1.166666667d Simplifying a = -1.166666667d
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