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Simplifying -5(-4 + -1a) = 3a + 8 (-4 * -5 + -1a * -5) = 3a + 8 (20 + 5a) = 3a + 8 Reorder the terms: 20 + 5a = 8 + 3a Solving 20 + 5a = 8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 20 + 5a + -3a = 8 + 3a + -3a Combine like terms: 5a + -3a = 2a 20 + 2a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 20 + 2a = 8 + 0 20 + 2a = 8 Add '-20' to each side of the equation. 20 + -20 + 2a = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 2a = 8 + -20 2a = 8 + -20 Combine like terms: 8 + -20 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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