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Simplifying 6(4a + 2) + -3(5a + -1) = 0 Reorder the terms: 6(2 + 4a) + -3(5a + -1) = 0 (2 * 6 + 4a * 6) + -3(5a + -1) = 0 (12 + 24a) + -3(5a + -1) = 0 Reorder the terms: 12 + 24a + -3(-1 + 5a) = 0 12 + 24a + (-1 * -3 + 5a * -3) = 0 12 + 24a + (3 + -15a) = 0 Reorder the terms: 12 + 3 + 24a + -15a = 0 Combine like terms: 12 + 3 = 15 15 + 24a + -15a = 0 Combine like terms: 24a + -15a = 9a 15 + 9a = 0 Solving 15 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 9a = 0 + -15 9a = 0 + -15 Combine like terms: 0 + -15 = -15 9a = -15 Divide each side by '9'. a = -1.666666667 Simplifying a = -1.666666667
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