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Simplifying -9(1 + 5a) + 9(1 + -3a) = 4a + 7a (1 * -9 + 5a * -9) + 9(1 + -3a) = 4a + 7a (-9 + -45a) + 9(1 + -3a) = 4a + 7a -9 + -45a + (1 * 9 + -3a * 9) = 4a + 7a -9 + -45a + (9 + -27a) = 4a + 7a Reorder the terms: -9 + 9 + -45a + -27a = 4a + 7a Combine like terms: -9 + 9 = 0 0 + -45a + -27a = 4a + 7a -45a + -27a = 4a + 7a Combine like terms: -45a + -27a = -72a -72a = 4a + 7a Combine like terms: 4a + 7a = 11a -72a = 11a Solving -72a = 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -72a + -11a = 11a + -11a Combine like terms: -72a + -11a = -83a -83a = 11a + -11a Combine like terms: 11a + -11a = 0 -83a = 0 Divide each side by '-83'. a = 0 Simplifying a = 0
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