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Simplifying -5(-1(a + 1)) = 9 + -5(5 + -1(2a + -3)) Reorder the terms: -5(-1(1 + a)) = 9 + -5(5 + -1(2a + -3)) -5((1 * -1 + a * -1)) = 9 + -5(5 + -1(2a + -3)) -5((-1 + -1a)) = 9 + -5(5 + -1(2a + -3)) (-1 * -5 + -1a * -5) = 9 + -5(5 + -1(2a + -3)) (5 + 5a) = 9 + -5(5 + -1(2a + -3)) Reorder the terms: 5 + 5a = 9 + -5(5 + -1(-3 + 2a)) 5 + 5a = 9 + -5(5 + (-3 * -1 + 2a * -1)) 5 + 5a = 9 + -5(5 + (3 + -2a)) Combine like terms: 5 + 3 = 8 5 + 5a = 9 + -5(8 + -2a) 5 + 5a = 9 + (8 * -5 + -2a * -5) 5 + 5a = 9 + (-40 + 10a) Combine like terms: 9 + -40 = -31 5 + 5a = -31 + 10a Solving 5 + 5a = -31 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 5 + 5a + -10a = -31 + 10a + -10a Combine like terms: 5a + -10a = -5a 5 + -5a = -31 + 10a + -10a Combine like terms: 10a + -10a = 0 5 + -5a = -31 + 0 5 + -5a = -31 Add '-5' to each side of the equation. 5 + -5 + -5a = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = -31 + -5 -5a = -31 + -5 Combine like terms: -31 + -5 = -36 -5a = -36 Divide each side by '-5'. a = 7.2 Simplifying a = 7.2
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