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Simplifying -5(-1(a + 1)) = 9 + -1(5 + -1(2a + -3)) Reorder the terms: -5(-1(1 + a)) = 9 + -1(5 + -1(2a + -3)) -5((1 * -1 + a * -1)) = 9 + -1(5 + -1(2a + -3)) -5((-1 + -1a)) = 9 + -1(5 + -1(2a + -3)) (-1 * -5 + -1a * -5) = 9 + -1(5 + -1(2a + -3)) (5 + 5a) = 9 + -1(5 + -1(2a + -3)) Reorder the terms: 5 + 5a = 9 + -1(5 + -1(-3 + 2a)) 5 + 5a = 9 + -1(5 + (-3 * -1 + 2a * -1)) 5 + 5a = 9 + -1(5 + (3 + -2a)) Combine like terms: 5 + 3 = 8 5 + 5a = 9 + -1(8 + -2a) 5 + 5a = 9 + (8 * -1 + -2a * -1) 5 + 5a = 9 + (-8 + 2a) Combine like terms: 9 + -8 = 1 5 + 5a = 1 + 2a Solving 5 + 5a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5 + 5a + -2a = 1 + 2a + -2a Combine like terms: 5a + -2a = 3a 5 + 3a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 3a = 1 + 0 5 + 3a = 1 Add '-5' to each side of the equation. 5 + -5 + 3a = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 1 + -5 3a = 1 + -5 Combine like terms: 1 + -5 = -4 3a = -4 Divide each side by '3'. a = -1.333333333 Simplifying a = -1.333333333
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