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Simplifying 6(a + 4) + 2(2a + 3) = 0 Reorder the terms: 6(4 + a) + 2(2a + 3) = 0 (4 * 6 + a * 6) + 2(2a + 3) = 0 (24 + 6a) + 2(2a + 3) = 0 Reorder the terms: 24 + 6a + 2(3 + 2a) = 0 24 + 6a + (3 * 2 + 2a * 2) = 0 24 + 6a + (6 + 4a) = 0 Reorder the terms: 24 + 6 + 6a + 4a = 0 Combine like terms: 24 + 6 = 30 30 + 6a + 4a = 0 Combine like terms: 6a + 4a = 10a 30 + 10a = 0 Solving 30 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10a = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10a = 0 + -30 10a = 0 + -30 Combine like terms: 0 + -30 = -30 10a = -30 Divide each side by '10'. a = -3 Simplifying a = -3
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