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Simplifying 0 = 12a + 7 + -3(-9 + -4a) 0 = 12a + 7 + (-9 * -3 + -4a * -3) 0 = 12a + 7 + (27 + 12a) Reorder the terms: 0 = 7 + 27 + 12a + 12a Combine like terms: 7 + 27 = 34 0 = 34 + 12a + 12a Combine like terms: 12a + 12a = 24a 0 = 34 + 24a Solving 0 = 34 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 0 + -24a = 34 + 24a + -24a Remove the zero: -24a = 34 + 24a + -24a Combine like terms: 24a + -24a = 0 -24a = 34 + 0 -24a = 34 Divide each side by '-24'. a = -1.416666667 Simplifying a = -1.416666667
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