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Simplifying -2(4a + -2) + 5(2a + 3) = 0 Reorder the terms: -2(-2 + 4a) + 5(2a + 3) = 0 (-2 * -2 + 4a * -2) + 5(2a + 3) = 0 (4 + -8a) + 5(2a + 3) = 0 Reorder the terms: 4 + -8a + 5(3 + 2a) = 0 4 + -8a + (3 * 5 + 2a * 5) = 0 4 + -8a + (15 + 10a) = 0 Reorder the terms: 4 + 15 + -8a + 10a = 0 Combine like terms: 4 + 15 = 19 19 + -8a + 10a = 0 Combine like terms: -8a + 10a = 2a 19 + 2a = 0 Solving 19 + 2a = 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 + 2a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2a = 0 + -19 2a = 0 + -19 Combine like terms: 0 + -19 = -19 2a = -19 Divide each side by '2'. a = -9.5 Simplifying a = -9.5
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