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Simplifying 2(a + 2) + 3(2a + 5) = 0 Reorder the terms: 2(2 + a) + 3(2a + 5) = 0 (2 * 2 + a * 2) + 3(2a + 5) = 0 (4 + 2a) + 3(2a + 5) = 0 Reorder the terms: 4 + 2a + 3(5 + 2a) = 0 4 + 2a + (5 * 3 + 2a * 3) = 0 4 + 2a + (15 + 6a) = 0 Reorder the terms: 4 + 15 + 2a + 6a = 0 Combine like terms: 4 + 15 = 19 19 + 2a + 6a = 0 Combine like terms: 2a + 6a = 8a 19 + 8a = 0 Solving 19 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8a = 0 + -19 8a = 0 + -19 Combine like terms: 0 + -19 = -19 8a = -19 Divide each side by '8'. a = -2.375 Simplifying a = -2.375
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