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Simplifying 3(2a + 3) + -4(a + -2) + -1(4 + -1a) = 0 Reorder the terms: 3(3 + 2a) + -4(a + -2) + -1(4 + -1a) = 0 (3 * 3 + 2a * 3) + -4(a + -2) + -1(4 + -1a) = 0 (9 + 6a) + -4(a + -2) + -1(4 + -1a) = 0 Reorder the terms: 9 + 6a + -4(-2 + a) + -1(4 + -1a) = 0 9 + 6a + (-2 * -4 + a * -4) + -1(4 + -1a) = 0 9 + 6a + (8 + -4a) + -1(4 + -1a) = 0 9 + 6a + 8 + -4a + (4 * -1 + -1a * -1) = 0 9 + 6a + 8 + -4a + (-4 + 1a) = 0 Reorder the terms: 9 + 8 + -4 + 6a + -4a + 1a = 0 Combine like terms: 9 + 8 = 17 17 + -4 + 6a + -4a + 1a = 0 Combine like terms: 17 + -4 = 13 13 + 6a + -4a + 1a = 0 Combine like terms: 6a + -4a = 2a 13 + 2a + 1a = 0 Combine like terms: 2a + 1a = 3a 13 + 3a = 0 Solving 13 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3a = 0 + -13 3a = 0 + -13 Combine like terms: 0 + -13 = -13 3a = -13 Divide each side by '3'. a = -4.333333333 Simplifying a = -4.333333333
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