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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 = -15a -5 + -15a = -31 + 10a + -10a Combine like terms: 10a + -10a = 0 -5 + -15a = -31 + 0 -5 + -15a = -31 Add '5' to each side of the equation. -5 + 5 + -15a = -31 + 5 Combine like terms: -5 + 5 = 0 0 + -15a = -31 + 5 -15a = -31 + 5 Combine like terms: -31 + 5 = -26 -15a = -26 Divide each side by '-15'. a = 1.733333333 Simplifying a = 1.733333333
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