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Simplifying 4(3 + -1a) + -1(6a + 9) = -12a (3 * 4 + -1a * 4) + -1(6a + 9) = -12a (12 + -4a) + -1(6a + 9) = -12a Reorder the terms: 12 + -4a + -1(9 + 6a) = -12a 12 + -4a + (9 * -1 + 6a * -1) = -12a 12 + -4a + (-9 + -6a) = -12a Reorder the terms: 12 + -9 + -4a + -6a = -12a Combine like terms: 12 + -9 = 3 3 + -4a + -6a = -12a Combine like terms: -4a + -6a = -10a 3 + -10a = -12a Solving 3 + -10a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 3 + -10a + 12a = -12a + 12a Combine like terms: -10a + 12a = 2a 3 + 2a = -12a + 12a Combine like terms: -12a + 12a = 0 3 + 2a = 0 Add '-3' to each side of the equation. 3 + -3 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5
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