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Simplifying 5(2a + 1) + 2(a + 3) = 0 Reorder the terms: 5(1 + 2a) + 2(a + 3) = 0 (1 * 5 + 2a * 5) + 2(a + 3) = 0 (5 + 10a) + 2(a + 3) = 0 Reorder the terms: 5 + 10a + 2(3 + a) = 0 5 + 10a + (3 * 2 + a * 2) = 0 5 + 10a + (6 + 2a) = 0 Reorder the terms: 5 + 6 + 10a + 2a = 0 Combine like terms: 5 + 6 = 11 11 + 10a + 2a = 0 Combine like terms: 10a + 2a = 12a 11 + 12a = 0 Solving 11 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 12a = 0 + -11 12a = 0 + -11 Combine like terms: 0 + -11 = -11 12a = -11 Divide each side by '12'. a = -0.9166666667 Simplifying a = -0.9166666667
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