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Simplifying 3(12 + -1a) = -5(9a + 7) (12 * 3 + -1a * 3) = -5(9a + 7) (36 + -3a) = -5(9a + 7) Reorder the terms: 36 + -3a = -5(7 + 9a) 36 + -3a = (7 * -5 + 9a * -5) 36 + -3a = (-35 + -45a) Solving 36 + -3a = -35 + -45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '45a' to each side of the equation. 36 + -3a + 45a = -35 + -45a + 45a Combine like terms: -3a + 45a = 42a 36 + 42a = -35 + -45a + 45a Combine like terms: -45a + 45a = 0 36 + 42a = -35 + 0 36 + 42a = -35 Add '-36' to each side of the equation. 36 + -36 + 42a = -35 + -36 Combine like terms: 36 + -36 = 0 0 + 42a = -35 + -36 42a = -35 + -36 Combine like terms: -35 + -36 = -71 42a = -71 Divide each side by '42'. a = -1.69047619 Simplifying a = -1.69047619
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