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Simplifying -1(a + -1) = -3 + -2(3a + 3) Reorder the terms: -1(-1 + a) = -3 + -2(3a + 3) (-1 * -1 + a * -1) = -3 + -2(3a + 3) (1 + -1a) = -3 + -2(3a + 3) Reorder the terms: 1 + -1a = -3 + -2(3 + 3a) 1 + -1a = -3 + (3 * -2 + 3a * -2) 1 + -1a = -3 + (-6 + -6a) Combine like terms: -3 + -6 = -9 1 + -1a = -9 + -6a Solving 1 + -1a = -9 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 1 + -1a + 6a = -9 + -6a + 6a Combine like terms: -1a + 6a = 5a 1 + 5a = -9 + -6a + 6a Combine like terms: -6a + 6a = 0 1 + 5a = -9 + 0 1 + 5a = -9 Add '-1' to each side of the equation. 1 + -1 + 5a = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = -9 + -1 5a = -9 + -1 Combine like terms: -9 + -1 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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