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Simplifying 4(3a + 1) + 2(a + -3) = 0 Reorder the terms: 4(1 + 3a) + 2(a + -3) = 0 (1 * 4 + 3a * 4) + 2(a + -3) = 0 (4 + 12a) + 2(a + -3) = 0 Reorder the terms: 4 + 12a + 2(-3 + a) = 0 4 + 12a + (-3 * 2 + a * 2) = 0 4 + 12a + (-6 + 2a) = 0 Reorder the terms: 4 + -6 + 12a + 2a = 0 Combine like terms: 4 + -6 = -2 -2 + 12a + 2a = 0 Combine like terms: 12a + 2a = 14a -2 + 14a = 0 Solving -2 + 14a = 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 + 14a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 14a = 0 + 2 14a = 0 + 2 Combine like terms: 0 + 2 = 2 14a = 2 Divide each side by '14'. a = 0.1428571429 Simplifying a = 0.1428571429
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