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Simplifying 12a + -4(5a + -1) = 2(3a + 6) + -4 Reorder the terms: 12a + -4(-1 + 5a) = 2(3a + 6) + -4 12a + (-1 * -4 + 5a * -4) = 2(3a + 6) + -4 12a + (4 + -20a) = 2(3a + 6) + -4 Reorder the terms: 4 + 12a + -20a = 2(3a + 6) + -4 Combine like terms: 12a + -20a = -8a 4 + -8a = 2(3a + 6) + -4 Reorder the terms: 4 + -8a = 2(6 + 3a) + -4 4 + -8a = (6 * 2 + 3a * 2) + -4 4 + -8a = (12 + 6a) + -4 Reorder the terms: 4 + -8a = 12 + -4 + 6a Combine like terms: 12 + -4 = 8 4 + -8a = 8 + 6a Solving 4 + -8a = 8 + 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. 4 + -8a + -6a = 8 + 6a + -6a Combine like terms: -8a + -6a = -14a 4 + -14a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + -14a = 8 + 0 4 + -14a = 8 Add '-4' to each side of the equation. 4 + -4 + -14a = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -14a = 8 + -4 -14a = 8 + -4 Combine like terms: 8 + -4 = 4 -14a = 4 Divide each side by '-14'. a = -0.2857142857 Simplifying a = -0.2857142857
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