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Simplifying 9(3a + 1) + 2(a + -3) = 0 Reorder the terms: 9(1 + 3a) + 2(a + -3) = 0 (1 * 9 + 3a * 9) + 2(a + -3) = 0 (9 + 27a) + 2(a + -3) = 0 Reorder the terms: 9 + 27a + 2(-3 + a) = 0 9 + 27a + (-3 * 2 + a * 2) = 0 9 + 27a + (-6 + 2a) = 0 Reorder the terms: 9 + -6 + 27a + 2a = 0 Combine like terms: 9 + -6 = 3 3 + 27a + 2a = 0 Combine like terms: 27a + 2a = 29a 3 + 29a = 0 Solving 3 + 29a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 29a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 29a = 0 + -3 29a = 0 + -3 Combine like terms: 0 + -3 = -3 29a = -3 Divide each side by '29'. a = -0.1034482759 Simplifying a = -0.1034482759
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