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Simplifying 12a + -2(5a + -4) + 3 = 0 Reorder the terms: 12a + -2(-4 + 5a) + 3 = 0 12a + (-4 * -2 + 5a * -2) + 3 = 0 12a + (8 + -10a) + 3 = 0 Reorder the terms: 8 + 3 + 12a + -10a = 0 Combine like terms: 8 + 3 = 11 11 + 12a + -10a = 0 Combine like terms: 12a + -10a = 2a 11 + 2a = 0 Solving 11 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2a = 0 + -11 2a = 0 + -11 Combine like terms: 0 + -11 = -11 2a = -11 Divide each side by '2'. a = -5.5 Simplifying a = -5.5
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