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Simplifying 2(a + 3) + -3(-3a + -4) = 4 + -1(7a + 2) Reorder the terms: 2(3 + a) + -3(-3a + -4) = 4 + -1(7a + 2) (3 * 2 + a * 2) + -3(-3a + -4) = 4 + -1(7a + 2) (6 + 2a) + -3(-3a + -4) = 4 + -1(7a + 2) Reorder the terms: 6 + 2a + -3(-4 + -3a) = 4 + -1(7a + 2) 6 + 2a + (-4 * -3 + -3a * -3) = 4 + -1(7a + 2) 6 + 2a + (12 + 9a) = 4 + -1(7a + 2) Reorder the terms: 6 + 12 + 2a + 9a = 4 + -1(7a + 2) Combine like terms: 6 + 12 = 18 18 + 2a + 9a = 4 + -1(7a + 2) Combine like terms: 2a + 9a = 11a 18 + 11a = 4 + -1(7a + 2) Reorder the terms: 18 + 11a = 4 + -1(2 + 7a) 18 + 11a = 4 + (2 * -1 + 7a * -1) 18 + 11a = 4 + (-2 + -7a) Combine like terms: 4 + -2 = 2 18 + 11a = 2 + -7a Solving 18 + 11a = 2 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 18 + 11a + 7a = 2 + -7a + 7a Combine like terms: 11a + 7a = 18a 18 + 18a = 2 + -7a + 7a Combine like terms: -7a + 7a = 0 18 + 18a = 2 + 0 18 + 18a = 2 Add '-18' to each side of the equation. 18 + -18 + 18a = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 18a = 2 + -18 18a = 2 + -18 Combine like terms: 2 + -18 = -16 18a = -16 Divide each side by '18'. a = -0.8888888889 Simplifying a = -0.8888888889
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