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Simplifying q2 + 3a + 1 = 0 Reorder the terms: 1 + 3a + q2 = 0 Solving 1 + 3a + q2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3a + -1 + q2 = 0 + -1 Reorder the terms: 1 + -1 + 3a + q2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a + q2 = 0 + -1 3a + q2 = 0 + -1 Combine like terms: 0 + -1 = -1 3a + q2 = -1 Add '-1q2' to each side of the equation. 3a + q2 + -1q2 = -1 + -1q2 Combine like terms: q2 + -1q2 = 0 3a + 0 = -1 + -1q2 3a = -1 + -1q2 Divide each side by '3'. a = -0.3333333333 + -0.3333333333q2 Simplifying a = -0.3333333333 + -0.3333333333q2
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