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