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Simplifying 14a + 19d + -8a + d = 0 Reorder the terms: 14a + -8a + 19d + d = 0 Combine like terms: 14a + -8a = 6a 6a + 19d + d = 0 Combine like terms: 19d + d = 20d 6a + 20d = 0 Solving 6a + 20d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20d' to each side of the equation. 6a + 20d + -20d = 0 + -20d Combine like terms: 20d + -20d = 0 6a + 0 = 0 + -20d 6a = 0 + -20d Remove the zero: 6a = -20d Divide each side by '6'. a = -3.333333333d Simplifying a = -3.333333333d
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