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Simplifying 4(a + 5) + -1(2a + -3) = 0 Reorder the terms: 4(5 + a) + -1(2a + -3) = 0 (5 * 4 + a * 4) + -1(2a + -3) = 0 (20 + 4a) + -1(2a + -3) = 0 Reorder the terms: 20 + 4a + -1(-3 + 2a) = 0 20 + 4a + (-3 * -1 + 2a * -1) = 0 20 + 4a + (3 + -2a) = 0 Reorder the terms: 20 + 3 + 4a + -2a = 0 Combine like terms: 20 + 3 = 23 23 + 4a + -2a = 0 Combine like terms: 4a + -2a = 2a 23 + 2a = 0 Solving 23 + 2a = 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 + 2a = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2a = 0 + -23 2a = 0 + -23 Combine like terms: 0 + -23 = -23 2a = -23 Divide each side by '2'. a = -11.5 Simplifying a = -11.5
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