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Simplifying 3(2a + 1) + -4a + 9 = 0 Reorder the terms: 3(1 + 2a) + -4a + 9 = 0 (1 * 3 + 2a * 3) + -4a + 9 = 0 (3 + 6a) + -4a + 9 = 0 Reorder the terms: 3 + 9 + 6a + -4a = 0 Combine like terms: 3 + 9 = 12 12 + 6a + -4a = 0 Combine like terms: 6a + -4a = 2a 12 + 2a = 0 Solving 12 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 0 + -12 2a = 0 + -12 Combine like terms: 0 + -12 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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