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Simplifying -5(5 + -1(a + 1)) = 9 + -1(5 + -1(2a + -3)) Reorder the terms: -5(5 + -1(1 + a)) = 9 + -1(5 + -1(2a + -3)) -5(5 + (1 * -1 + a * -1)) = 9 + -1(5 + -1(2a + -3)) -5(5 + (-1 + -1a)) = 9 + -1(5 + -1(2a + -3)) Combine like terms: 5 + -1 = 4 -5(4 + -1a) = 9 + -1(5 + -1(2a + -3)) (4 * -5 + -1a * -5) = 9 + -1(5 + -1(2a + -3)) (-20 + 5a) = 9 + -1(5 + -1(2a + -3)) Reorder the terms: -20 + 5a = 9 + -1(5 + -1(-3 + 2a)) -20 + 5a = 9 + -1(5 + (-3 * -1 + 2a * -1)) -20 + 5a = 9 + -1(5 + (3 + -2a)) Combine like terms: 5 + 3 = 8 -20 + 5a = 9 + -1(8 + -2a) -20 + 5a = 9 + (8 * -1 + -2a * -1) -20 + 5a = 9 + (-8 + 2a) Combine like terms: 9 + -8 = 1 -20 + 5a = 1 + 2a Solving -20 + 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. -20 + 5a + -2a = 1 + 2a + -2a Combine like terms: 5a + -2a = 3a -20 + 3a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 3a = 1 + 0 -20 + 3a = 1 Add '20' to each side of the equation. -20 + 20 + 3a = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 3a = 1 + 20 3a = 1 + 20 Combine like terms: 1 + 20 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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