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Simplifying 2(3 + -1a) + -1(-2)(9 + -3) = -1(3a + -2) (3 * 2 + -1a * 2) + -1(-2)(9 + -3) = -1(3a + -2) (6 + -2a) + -1(-2)(9 + -3) = -1(3a + -2) Combine like terms: 9 + -3 = 6 6 + -2a + -1 * -2(6) = -1(3a + -2) Multiply -1 * -2 6 + -2a + 2 * 6 = -1(3a + -2) Multiply 2 * 6 6 + -2a + 12 = -1(3a + -2) Reorder the terms: 6 + 12 + -2a = -1(3a + -2) Combine like terms: 6 + 12 = 18 18 + -2a = -1(3a + -2) Reorder the terms: 18 + -2a = -1(-2 + 3a) 18 + -2a = (-2 * -1 + 3a * -1) 18 + -2a = (2 + -3a) Solving 18 + -2a = 2 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 18 + -2a + 3a = 2 + -3a + 3a Combine like terms: -2a + 3a = 1a 18 + 1a = 2 + -3a + 3a Combine like terms: -3a + 3a = 0 18 + 1a = 2 + 0 18 + 1a = 2 Add '-18' to each side of the equation. 18 + -18 + 1a = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 1a = 2 + -18 1a = 2 + -18 Combine like terms: 2 + -18 = -16 1a = -16 Divide each side by '1'. a = -16 Simplifying a = -16
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