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Simplifying 7(2a + 4) + 5(6a + -1) = 0 Reorder the terms: 7(4 + 2a) + 5(6a + -1) = 0 (4 * 7 + 2a * 7) + 5(6a + -1) = 0 (28 + 14a) + 5(6a + -1) = 0 Reorder the terms: 28 + 14a + 5(-1 + 6a) = 0 28 + 14a + (-1 * 5 + 6a * 5) = 0 28 + 14a + (-5 + 30a) = 0 Reorder the terms: 28 + -5 + 14a + 30a = 0 Combine like terms: 28 + -5 = 23 23 + 14a + 30a = 0 Combine like terms: 14a + 30a = 44a 23 + 44a = 0 Solving 23 + 44a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 44a = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 44a = 0 + -23 44a = 0 + -23 Combine like terms: 0 + -23 = -23 44a = -23 Divide each side by '44'. a = -0.5227272727 Simplifying a = -0.5227272727
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