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Simplifying 4(3a + 1) + -1(a + 2) = 0 Reorder the terms: 4(1 + 3a) + -1(a + 2) = 0 (1 * 4 + 3a * 4) + -1(a + 2) = 0 (4 + 12a) + -1(a + 2) = 0 Reorder the terms: 4 + 12a + -1(2 + a) = 0 4 + 12a + (2 * -1 + a * -1) = 0 4 + 12a + (-2 + -1a) = 0 Reorder the terms: 4 + -2 + 12a + -1a = 0 Combine like terms: 4 + -2 = 2 2 + 12a + -1a = 0 Combine like terms: 12a + -1a = 11a 2 + 11a = 0 Solving 2 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11a = 0 + -2 11a = 0 + -2 Combine like terms: 0 + -2 = -2 11a = -2 Divide each side by '11'. a = -0.1818181818 Simplifying a = -0.1818181818
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