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Simplifying a = -2a + 7 + -3(-9 + -4a) a = -2a + 7 + (-9 * -3 + -4a * -3) a = -2a + 7 + (27 + 12a) Reorder the terms: a = 7 + 27 + -2a + 12a Combine like terms: 7 + 27 = 34 a = 34 + -2a + 12a Combine like terms: -2a + 12a = 10a a = 34 + 10a Solving a = 34 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. a + -10a = 34 + 10a + -10a Combine like terms: a + -10a = -9a -9a = 34 + 10a + -10a Combine like terms: 10a + -10a = 0 -9a = 34 + 0 -9a = 34 Divide each side by '-9'. a = -3.777777778 Simplifying a = -3.777777778
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