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Simplifying -1(5(a + 1)) = 9 + -1(5 + -1(2a + -3)) Reorder the terms: -1(5(1 + a)) = 9 + -1(5 + -1(2a + -3)) -1((1 * 5 + a * 5)) = 9 + -1(5 + -1(2a + -3)) -1((5 + 5a)) = 9 + -1(5 + -1(2a + -3)) (5 * -1 + 5a * -1) = 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 = -7a -5 + -7a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + -7a = 1 + 0 -5 + -7a = 1 Add '5' to each side of the equation. -5 + 5 + -7a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -7a = 1 + 5 -7a = 1 + 5 Combine like terms: 1 + 5 = 6 -7a = 6 Divide each side by '-7'. a = -0.8571428571 Simplifying a = -0.8571428571
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