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Simplifying 4(5 + -1a) + 2(3a + 1) = 0 (5 * 4 + -1a * 4) + 2(3a + 1) = 0 (20 + -4a) + 2(3a + 1) = 0 Reorder the terms: 20 + -4a + 2(1 + 3a) = 0 20 + -4a + (1 * 2 + 3a * 2) = 0 20 + -4a + (2 + 6a) = 0 Reorder the terms: 20 + 2 + -4a + 6a = 0 Combine like terms: 20 + 2 = 22 22 + -4a + 6a = 0 Combine like terms: -4a + 6a = 2a 22 + 2a = 0 Solving 22 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2a = 0 + -22 2a = 0 + -22 Combine like terms: 0 + -22 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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