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Simplifying -12(5a + -9) + 6(8a + -11) = 7a + 2a Reorder the terms: -12(-9 + 5a) + 6(8a + -11) = 7a + 2a (-9 * -12 + 5a * -12) + 6(8a + -11) = 7a + 2a (108 + -60a) + 6(8a + -11) = 7a + 2a Reorder the terms: 108 + -60a + 6(-11 + 8a) = 7a + 2a 108 + -60a + (-11 * 6 + 8a * 6) = 7a + 2a 108 + -60a + (-66 + 48a) = 7a + 2a Reorder the terms: 108 + -66 + -60a + 48a = 7a + 2a Combine like terms: 108 + -66 = 42 42 + -60a + 48a = 7a + 2a Combine like terms: -60a + 48a = -12a 42 + -12a = 7a + 2a Combine like terms: 7a + 2a = 9a 42 + -12a = 9a Solving 42 + -12a = 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 42 + -12a + -9a = 9a + -9a Combine like terms: -12a + -9a = -21a 42 + -21a = 9a + -9a Combine like terms: 9a + -9a = 0 42 + -21a = 0 Add '-42' to each side of the equation. 42 + -42 + -21a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21a = 0 + -42 -21a = 0 + -42 Combine like terms: 0 + -42 = -42 -21a = -42 Divide each side by '-21'. a = 2 Simplifying a = 2
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