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Simplifying 5(2a + 7) + 3(2a + 5) = 0 Reorder the terms: 5(7 + 2a) + 3(2a + 5) = 0 (7 * 5 + 2a * 5) + 3(2a + 5) = 0 (35 + 10a) + 3(2a + 5) = 0 Reorder the terms: 35 + 10a + 3(5 + 2a) = 0 35 + 10a + (5 * 3 + 2a * 3) = 0 35 + 10a + (15 + 6a) = 0 Reorder the terms: 35 + 15 + 10a + 6a = 0 Combine like terms: 35 + 15 = 50 50 + 10a + 6a = 0 Combine like terms: 10a + 6a = 16a 50 + 16a = 0 Solving 50 + 16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 16a = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 16a = 0 + -50 16a = 0 + -50 Combine like terms: 0 + -50 = -50 16a = -50 Divide each side by '16'. a = -3.125 Simplifying a = -3.125
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