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Simplifying -1(5 + -1(a + 1)) = 9 + -1(5 + -2a + -3) Reorder the terms: -1(5 + -1(1 + a)) = 9 + -1(5 + -2a + -3) -1(5 + (1 * -1 + a * -1)) = 9 + -1(5 + -2a + -3) -1(5 + (-1 + -1a)) = 9 + -1(5 + -2a + -3) Combine like terms: 5 + -1 = 4 -1(4 + -1a) = 9 + -1(5 + -2a + -3) (4 * -1 + -1a * -1) = 9 + -1(5 + -2a + -3) (-4 + 1a) = 9 + -1(5 + -2a + -3) Reorder the terms: -4 + 1a = 9 + -1(5 + -3 + -2a) Combine like terms: 5 + -3 = 2 -4 + 1a = 9 + -1(2 + -2a) -4 + 1a = 9 + (2 * -1 + -2a * -1) -4 + 1a = 9 + (-2 + 2a) Combine like terms: 9 + -2 = 7 -4 + 1a = 7 + 2a Solving -4 + 1a = 7 + 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. -4 + 1a + -2a = 7 + 2a + -2a Combine like terms: 1a + -2a = -1a -4 + -1a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + -1a = 7 + 0 -4 + -1a = 7 Add '4' to each side of the equation. -4 + 4 + -1a = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = 7 + 4 -1a = 7 + 4 Combine like terms: 7 + 4 = 11 -1a = 11 Divide each side by '-1'. a = -11 Simplifying a = -11
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