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Simplifying -1(5 + -1(a + 1)) = 9(5 + -1(2a + -3)) Reorder the terms: -1(5 + -1(1 + a)) = 9(5 + -1(2a + -3)) -1(5 + (1 * -1 + a * -1)) = 9(5 + -1(2a + -3)) -1(5 + (-1 + -1a)) = 9(5 + -1(2a + -3)) Combine like terms: 5 + -1 = 4 -1(4 + -1a) = 9(5 + -1(2a + -3)) (4 * -1 + -1a * -1) = 9(5 + -1(2a + -3)) (-4 + 1a) = 9(5 + -1(2a + -3)) Reorder the terms: -4 + 1a = 9(5 + -1(-3 + 2a)) -4 + 1a = 9(5 + (-3 * -1 + 2a * -1)) -4 + 1a = 9(5 + (3 + -2a)) Combine like terms: 5 + 3 = 8 -4 + 1a = 9(8 + -2a) -4 + 1a = (8 * 9 + -2a * 9) -4 + 1a = (72 + -18a) Solving -4 + 1a = 72 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -4 + 1a + 18a = 72 + -18a + 18a Combine like terms: 1a + 18a = 19a -4 + 19a = 72 + -18a + 18a Combine like terms: -18a + 18a = 0 -4 + 19a = 72 + 0 -4 + 19a = 72 Add '4' to each side of the equation. -4 + 4 + 19a = 72 + 4 Combine like terms: -4 + 4 = 0 0 + 19a = 72 + 4 19a = 72 + 4 Combine like terms: 72 + 4 = 76 19a = 76 Divide each side by '19'. a = 4 Simplifying a = 4
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