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Simplifying -1(-9 + -9a) = 4(a + 6) (-9 * -1 + -9a * -1) = 4(a + 6) (9 + 9a) = 4(a + 6) Reorder the terms: 9 + 9a = 4(6 + a) 9 + 9a = (6 * 4 + a * 4) 9 + 9a = (24 + 4a) Solving 9 + 9a = 24 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 9 + 9a + -4a = 24 + 4a + -4a Combine like terms: 9a + -4a = 5a 9 + 5a = 24 + 4a + -4a Combine like terms: 4a + -4a = 0 9 + 5a = 24 + 0 9 + 5a = 24 Add '-9' to each side of the equation. 9 + -9 + 5a = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = 24 + -9 5a = 24 + -9 Combine like terms: 24 + -9 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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